2. Let x+1 r <-1 f(x) = { 2 - V² + 7 [3r – 4] x>-1 Determine if lim f(x) exists. r-1

Q: 3 Use the Squeeze Theorem to evaluate lim f(x), where f(x)=x²cos (-). x A B C D - 0 0 1 8 -0-x

A:

Q: 3. Find lim (x² + 3x – 18)/(x – 3)-

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Q: b. Find lim (xv (xVx²+1-x²)

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Q: 6х2+1 2. Find lim X→0 V4x4+3x+1

A:

Q: Evaluate lim h→0 1 2 3(x+h) ² h 1 3x²

A:

Q: 2. Find lim (√x + 2 = √2).

A:

Q: 5. Find lim f(x) f(x) 2 1 i -1 2 -2

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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: V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

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Q: -x2 – 2x – 4 Calculate lim x o x2 +x - 20

A: Given:  limx→∞-x2-2x-4x2+x-20

Q: Find 2-Vx2-5 lim X-1 x+3

A:

Q: 2- Determine lim[ v( x-1000)+10]/x x-0

A: Given problem:-

Q: 1 c) lim x+0 \ex-1 X.

A: the given expression is: limx→01ex-1-1x…

Q: V5x+4-3 3) lim X-1 x-1

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Q: Evaluate lim h→0 1 2 5 (x+h) ² 2h 1 5x²

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Q: ( ) Evaluate L = lim x+ Vx² + 1 r -00

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Q: (d) lim 1-x-x² x-∞ 2x³ - 3x + 1

A: In this question, we want to evaluate the limit of the given expression.

Q: Find lim h→0 lim h0 f(3+h)-f(3) h f(3+h)-f(3) h - if f(x)=x² +8. (Simplify your answer.)

A: To find the limit limh→0f(3+h)−f(3)h for the given function f(x)=x2+8, let's substitute the function…

Q: Vx2 -25 b) lim x→-0o 6x-18

A: We have to find the limit

Q: Use the graph of f(x) = X + 2x - x-8) to determine lim f(x) and lim f(x). X→-4 X-2

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Q: Find lim (V + 1 - Vĩ).

A: To find the limit

Q: Find Vx2 +8-3 lim X-1 x + 1

A: Limits question

Q: 5. Find lim [2(a+ h)? – 6(a + h) + 5 – (2a – 6a + 5)]/h h>0

A: Given that, limh→02a+h2-6a+h+5-2a2-6a+5h

Q: 3x(x - : lim Tx - 1| X1+

A: Replace the value of the limit and x.