5 if x < - 3 Let f(x) = I+3 4x + 13 if x > - 3 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = I+ -3 lim f(x) = I- -3+ lim f(x) = I+ -3

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: 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: Q8. Find the indicated limit: 2x +16x – 28 a) Lim = 2x +8 4x +x- 30 b) Lim x--3 x+ 3

A:

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: lim (2x² - 6x - 3). x-3

A:

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

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: 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: Evaluate limits x - 3x +2 lim X-1 2x +x-3 lim x9x +1 i, XV

A: Here we have to elevate the limit for the given questions

Q: Evaluate the limit 2x + 4 lim I→ 0 3x2 - 7x + 7

A: Given

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: 2x a. lim x-+3" X - 3

A: limit

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: Q2/ Find the limit of the following function: 3x-r 2+3x 2. limx→∞ 7x² -5'

A: The objective is to find the limits limx→∞2+3x7x2-5 Now, limx→∞2+3x7x2-5 represents ∞∞ form.

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

A: