x-1 1. Determine the limit of- x2. 32-1 /x² as x approaches 1

Q: f(7 + h) – f(7) lim h-0 h where f(x) = -5x – 8. If the limit does not exist enter DNE. Limit =

A: We have to find the limit of the function    f(x) =-5x-8

Q: (7 + h)² – 49 Evaluate the limit: lim

A:

Q: Find the limit. x+y-9 lim Vx+y - 3 (X.y)→ X+y#9

A: To solve the limit

Q: - 6x - 15 if x -3 Calculate the following limits. Enter "DNE" if the lim f(x) = I -3

A:

Q: Q2) Evaluate the limit at x = -2 for: x 1 2x2 4x - 8 S(x) x² - x- 6

A:

Q: (– 8 + h)² – 64 Evaluate the limit: lim h→0 h

A: Consider the given function for which the limit has to be evaluated. limh→0-8+h2-64h A limit is the…

Q: x2 if x 3 | Enter DNE if the limit does not exist.

A:

Q: 1. Find the limit. t² 4 8 lim t-2 +3

A:

Q: Let f (x)=x²-2x + . Find the slope of the graph y = f(x), at point P- (0,7) evaluating th'e limit AX…

A: fx=x2-2x+1 We need to find the slope of the graph at the point P0, 1

Q: 1. Evaluate the limit for the graph lim f (x). x→1" f(x) 51 4- 3 2 1- -3 -2 -1 1 2 3 4 -1 а. 1 c.…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Evaluate f(4+h) – f(4) lim h→0 h where f(x) = -5x – 1. If the limit does not exist enter DNE. Limit…

A: We have to find the limit.

Q: 2x+1 if x < 2 Let f(x) = x²-1 if x ≥2 Determine the one-sided limit lim f(x). x 2+

A:

Q: f(x) = x(3x-(9x2+2)1/2). Compute the limit of f(x) as x tends to positive infinity.

A: Given data:   The expression for the given function is f(x)=x(3x-(9x2+2)1/2).   The expression for…

Q: (- 4 - x) + 4 if a - 5 | 2x + 14 Let f(x) %3D if x=D - 5 Calculate the following limits. Enter "DNE"…

A:

Q: s*(2t-2)² dt (a) Find the limit (if exist): lim x 2х-1

A: Result 1 : If limx→af(x)g(x) = 00 , then by L hospital's rule limx→af(x)g(x)= limx→af'(x)g'(x)…

Q: 2x+1 if x 2 Determine the one-sided limit lim f(x). x-2- 2

A: The given function is:

Q: Find the limit limit x tends to (1/2) 4x(3x+4)2

A:

Q: (-2-x)²+5 if x ‡ - 3 = 4x + 17 if x = -3 the following limits. Enter "DNE" if the limit does not…

A: The given function is: f(x)=(-2-x)2+5 if x≠-34x+17 if x=-3

Q: f(3+h) – f(3) lim h 0 ere f(x) = 7x² + 2. Enter I for oo, -I for -o, and DNE if the limit does not…

A: We will apply the limits

Q: find the limit as x approaches infinity of (1+2/x)^x

A: Find the limit as x to infinity,

Q: 3. Given the function y = [(x² +2x+ 1]/(x), (x0), find: (a) the limit of y as x approaches positive…

A: Given:  The function y=x2+2x+1x, x≠0 To Find:  a The limit of y as x approaches positive infinity.b…

Q: [In (x+1) Evaluate the limit of the function f(x) =er as x approaches 0 using Table of Values…

A: Consider the function  f(x)=ln(x+1)x To find the limit of the function as x approaches 0 using table…

Q: 9+- Find the limit of f(x)= as x approaches oo and as x approaches 8. x² 8.

A:

Q: 2. Given the function y = [(x-1)3 – 1]/(x), (x#0), find: (a) the limit of y as x approaches 0. (b)…

A:

Q: 6 - x - x2 if x 4 Use a graph to determine the following limits. Enter DNE if the limit does not…

A:

Q: 1) Find the limit as x approaches 2 from the left and from the right (if they exist). Does the limit…

A:

Q: -x' B. For f(x)={(x+2)² for -1<x<2,find for x<-1 2x2 for x22 Consider one-Sided Limits to deter a)…

A:

Q: Can i get help with this problem step by step?

A: Here, we rationalize the denominator to get the required value of limit.

Q: Q1:- Find the limit for each of the following functions if is exist ? 1) lim|x – 3| x-3 sx + 2 ,…

A: We find limit of given function

Q: 7. Compute the limit to infinity: 4-2+3r+1 a lim 7+3r-r+ 12

A:

Q: Find lim I→1 x² – 1 Enter inf for oo, -inf for -00, and DNE if the limit does not exist. Answer:

A: In such kind of limit we substitute the value of the limit with sign and then evaluate the…

Q: Evaluate f(-3+h) – f(-3) lim h0 h where f(x) = 6x² + 4. Enter I for oo, -I for -00, and DNE if the…

A: The given function is f(x)=6x2+4

Q: 8 Find the limit lim Y-00 y +8 Enter I for o, -1 for -0o, and DNE if the limit does not exist.

A: Solution 1

Q: 8 lim r→8 r2 8x Enter DNE if the limit does not exist. Limit =

A: Given limit:

Q: f(8+ h)-f(8) lim h-0 where f(x) = 2x + 5. If the limit does not exist enter DNE. Limit =

A:

Q: Q1. Find the limit of the function if it exists x² + y² – 2xy lim (x.y)-(0,0) у3 — х3

A: We have to check whether the limx,y→0,0x2+y2−2xyy3−x3 exists or not. Convert the polar coordinates…

Q: Q8:- Find the limit of the following functions:- x2 - 2xy + y (1) Lim (х,у) —>(0,0) X+y ху — у — 2х…

A: First we simply numerator by applying appropriate identities or factorization of it

Q: S -2x? + 5x 7x² – 5 for x 0. According to the alternate form of the definition of the derivative,…

A: Given:

Q: Q5. Evaluate the limit Vx+h- Vx lim h-0 Vx+h+Vx in the two cases (i) x > 0 and (ii) x = 0.

A: Evaluating:                                    limh→0x+h-xx+h+x   In the cases:…

Q: 3x +x 6. Evaluate the limit: lim- x→0 а. О С. 1 b. 3 d. -1

A: “Since you have asked multiple questions, we will solve ONE question for you. If you want any…

Q: 1. Find the limit, if it exists.If the limit does not exist, explain why. (a) lim √√²+1²+1+3z² z²+1…

A:

Q: Find the limit of f(x)

A: Given information

Q: find the limit of f(x)= ((x+h)^3-x^3)/h as h approaches 0

A: SOLUTION-

Q: What result do you obtain when you evaluate the limit (RHL and LHL) of the limit of (x^2-16)/(x-4)…

A: Given f(x)=x2-16x-4 LHL=limx→4-f(x) and RHL=limx→4+f(x) Here if LHL = RHL, then limit exists.

Q: 4x 7 lim 1+ Compute the limit: x→0

A: here we put value of limit then we calculate

Q: 1. Find the indicated limit or state that is does not exist lim (3x'y- xy³) а. (x,y)→(1,3) b.…

A:

Q: 4. Find the limit or show that it does not exist 2xy a. lim (x.y)-(1,1) x²+2y² 2xy b. lim (xy)-(0,0)…

A: First we have to solve a. Given: lim(x,y)→(1,1) 2xyx2+2y2 First we evaluate: lim(x,y)→(1,1) 2xyx2…

Q: I.A. Discuss the limit of the function as x approaches c and the value of the function as x = c.

A:

Q: x³y Find the limit lim , if it exists. (x.y)-(0,0) x²+y2

A:

Q: x² – x + 1 1 - (c) lim x→1 x + 1 2 using definition of the functional limit

A: We can prove the statement as below using definition of limit