(7) Find the following limits. Show how you get your answers. If a limit is oo or -0, say so. (a) lim 0 (Vx2 + 4x – x) (b) lim,-0 V4r2 –9+2 5a-3

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) lim (x3 −…

A: Given,

Q: Vx+1 - 3 4. Find the limit (if it exists). lim %3D X-8

A:

Q: Find the limit. (If an answer does not exist, enter DN lim x→0 x2 9x

A: =?

Q: Find the limits from the given graph of f(). -2-1 1 2 3 4 S lim f(x) T0-

A: The graph of the function fx is given as ,

Q: Vx+15 -2 is The value of the limit lim X+-11 x+11

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) x2 - 3x + 2 lim x- 1 X - 1

A: Here we have to find limit of given question.

Q: Find the limits lim (V² + 3 + x) X -00

A:

Q: 4.x³+1 d) lim x→-o 2x3+v16x5+1

A: d) limx→-∞4x3+12x3+16x6+1limx→-∞x34+1x32x3+x616+1x6limx→-∞x34+1x32x3+x316+1x6

Q: Find the limit. 3e - 3 V1 + t - 1 4 lim 1 +t/

A: We have to find the limit of this Vector. If the limit 0/0 form, then we can use L' Hospital rule.…

Q: Find the limit, if it exists.

A:

Q: Evaluate the limit using L'Hôpital's rule e – x I – 1 lim 5x2

A: See the details solution in below

Q: given y= f(x)= 2^2-9x+20/x-4 Why is it not possible to apply the quotient limit theroem to find the…

A: Given function is:And the limit of x approaches 4. Hence, the limit is written as: Quotient limit…

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x² – 6x +7 -x² + 6x – 11 if…

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) 5x - 4 lim X 0 2x + 4

A:

Q: 10. Find the value of the limit or state that it does not exist b) lim f (x) =

A:

Q: Find the limits x2 - 3x + 2 lim x - 4x as a. x→2+ b. x→-2+ c. x→0 d. x→ 1* e. What, if anything, can…

A: We are entitled to answer three sub-parts. Please resubmit the question which you wish to get…

Q: b) At what points c, if any, does lim f(x) exist? c) At what points does only the left-hand limit…

A:

Q: 1. Find the following limits mathematically. If the limit does not exist, state why. x* - 4x -12 a.…

A: When applying the limits to an expression and if we get a 00 form then use l'Hopitals rule to find…

Q: Find the limit (if it exists) lim                t2+t-2/t2-1 t-->1

A: First we factor numerator and denominator

Q: Q3: (a) find the following limits if exist:- (1) limx-o √x+9-3 1-cosx xsinx (2) limx-07 (3) limx-1…

A: Topic = Limits

Q: I. Determine the limit of the function, f(x) = 2x – 5, given the graph. 1. lim(2x – 5) = , X2 2.…

A: Given graph of the linear function f(x) = 2x - 5 is as follows:

Q: Evaluate the limit x2 – 2x – 15 lim I - 5 Enter I for oo, -I for-oo, and DNE if the limit does not…

A:

Q: Find the limit as x approaches - 2 for the function f(x) = 12x + 1. %3D lim (12x+1) = X→-2

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim X→-2- V x² - 4

A: Given expression is We need to find its limit as x approaches -2-

Q: x+h-Vx 12. lim h

A:

Q: Find the limit. 2 lim 1+ x4 О А. 2 О В. 0о O C. 0 O D. 1

A:

Q: Find the value of b-2a for which the limit ex – xex – cosbx - limx +0 exists 4 Select one: а. 3 b. 1…

A: L'Hospital's rule is a useful method to find the limits of indeterminate form. There are two…

Q: find the limit of g(x) as x approaches the indicatedvalue.

A: Given: limx→-310-x2(g(x))1/3=0 Simplify.…

Q: Q2: Find the limit x + 3 lim x→-3 x2 + 4x + 3

A: We have to find limit

Q: Find the limit       lim h approaches 0   [(5h + 4)^1/2   - 2] /h

A: We have to find the limit of the given function: limh→05h+412-2h Since it is 00 indeterminate form…

Q: Q4) A) Find the following limits (for two only). x+1 1. lim x--1x²-x-2 1-Vx 2. lim x→1 1-x 2x 3. lim…

A:

Q: x" -1 :? x+1Vx -1 For a positive number nEN, what is the value of the limit lim-

A: On substituting x=1 in limx→1 xn-1x-1 tends to 00 (Indeterminate) form So upon applying L-Hospital…

Q: Determine the limit at infinity. 4x -6x2 + 3x lim - -x - 2x+6 O A. 4 OB. OC. 0 D. 4.

A: Given limit is Dividing both numerator and denominator by x^3, we get

Q: Q5: Find the limits of: Vx +n - Vn lim n-

A: Given that: limx→0nx+n-nx

Q: Q2: Find the limit r + 3 lim x-3 x + 4x + 3

A: We have to find limit

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) Vx + 4 lim 4 x-12 X - 12…

A: topic - limits

Q: b) Find the limit, if it exists, or show that the limit does not exist. 3x4 - 3y4 lim (x,y) (0,0)…

A:

Q: Evaluate the limit in terms of the constants involved: lim (2t – 5at + 9a) = t→-2

A: Given

Q: A) Find the following limits (for two only). x+1 1. limx-12-x-2 1-V 2. limx-1 1-x 2x 3. limx-0 2x2+x

A: Find the following limits.

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: Find the limit. lim (3x5 - 2x4 - 4x³ + x² - 5) x+-2 O -33 O -161 O 47 O -97

A: See the details solution in below

Q: Find the limit algebraically. f(-9 + h) – f(-9) lim h-0 where f(x) = – 7x² + 8x – 6 h

A: Given: limh→0f(-9+h)-f(-9)h where f(x)=-7x2+8x-6

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: nd the limit. e3x p-3x lim x→0e3X - e-3x

A: on solving this we get the

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x2 - 4x + 18, l-x2 + 4x -…

A: Detailed explanation mentioned below

Q: Find the limit. -重班 4x + 4 x² + 2x lim x-2+ Does not exist 4 O- 1

A: Find the limit

Q: A graphing calculator is recommended. For the limit lim (x - 4x + 5) = 20 illustrate the definition…

A: Consider the limit: limx→3x3-4x+5=20  Find the largest possible values of δ corresponding to ε=0.2…

Q: 10. Find the value of the limit or state that it does not exist c) lim f(x) = X2"

A:

Q: Q4)A) Find the following limits (for two only). x+1 1. lim X-1x2-x-2 1-Vx 2. lim X-1 1-x 3. lim x0…

A: Find the limit for the given function . We use for calculate value of limit L' hospital rule (When…

Q: X- 2 a lim " +x-6 T0 – x - 4 sin 2x b. lim c. lim x+ 6

A: