V-5 – x + 5 if x < – 6 Let f(x) if x = 6 = - 3x + 24 if x > 6 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x- -6 lim x → -6 f(x) = lim f(æ) : x → - 6

Q: 5x - 10x2-7x lim 5- 8x-5x3 5x – 10x? - 7x 1. %3D 2. lim 5 - 8x 5x3 II

A: I will solve this by taking the common factor out of denominator and numerator and cancelling it.

Q: lim2

A: Explained below

Q: Find the limit: 2x+60-8 lim x 2 x² + 3x - 10

A: Given query is to find indicated limit

Q: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

Q: x²-4x+4 1. Find lim- 2 x+x-6

A: Part 1,

Q: Find the following limits: lim (x² – 13) a. X--3 b. lim 8(t-5) (t - 7) t-6 2x+5 lim x-211-x³ c. C.

A: To find the following limits.

Q: If 2x - 2s f(x) sx² - 2x + 2 for x 2 0, find lim f(x). x-2

A:

Q: find lim ( Sx²+ax-Jxb% 2. Xつや

A: Solution  limx→∞Axn=0 , where A is constant and n&gt;0

Q: f(2 + h) – f(2) Find lim if f(x) = x + 7. h h→0 f(2 + h) – f(2) lim | (Simplify your answer.) h h→0

A: Here I am attaching image so that you understand each and every step.

Q: Sfsin(r – y kýyd . B. (i) Evaluate 00 sVx+1 lim (ii) Evaluate * 4Vx +3

A:

Q: x2 + 8x + 15 if x 2. Find lim f(x). x-2+

A:

Q: If f(x) = 5x – 4, then f(x) – f(-3) = 5. x +3 lim I-3 Select one: O True O False

A: Answer is true.  Using L hopital rule.

Q: 2x -5x +2 3. Calculate the limit lim .2 x-2x X→2 X -3x +4

A: Limit of the function f(x) as x approaches  to a means as x approaches to a from left side and right…

Q: Find the limits 3x lim x→-5 2x + 10

A: Our Aim is to find the limit of the expression given below:-limx→-5- 3x2x+10-(i)

Q: Find Vx² + 8 – 3 lim x--1 x +1

A:

Q: Vx-3-V9-x 3. lim X-6

A: Solving the problem by finding the limit of th3 function.

Q: If 2x - 2s f(x) S x² - 2x + 2 for x 2 0, find lim f(x) x-2

A: see below the answer

Q: If 3x – 2 s f(x) sx² - 3x + 7 for x2 0, find lim f(x). x-3

A:

Q: x8 – 1 lim x-1x5 – 1

A:

Q: Find lim h-0 f(5+h)-f(5) h if f(x) = -2x-1.

A:

Q: Let f(x)=2x+5. Find lim h-0 (f(a+h)-f(a)/h)

A: Topic :- limits

Q: Зх + 5 3 lim 6х — 8

A: Given limx→∞(3x+56x-8)13

Q: r2 + 8r + 15 if r<2 if z 2. if a <2 Let = f(x) 4x +7 lim f(x). I-2+ Find

A:

Q: If 3x-35f(x) < x²-3X+6 for X z0, find. lim f(x)

A: