х2 +x — 2 Vx + 4 – 2 - - (а) lim x→-2 (b) lim x + 2 y y 2 1.00 1 0.75 0.50 -3 -2 - 1 1 2 3 -3 -4 -3 -2 -1 1 -4

Q: Vx-2 lim х-2+ Vx2-4

A:

Q: lim 2x

A: Given: limx→∞2xx+1-1

Q: 6х2+1 2. Find lim X→0 V4x4+3x+1

A:

Q: lim z2= 10 20 -2 0 -10

A: The objective is to find the limz→iz2. Since z2 is continuous.

Q: xª + x³ – 2x +1 Find lim 00 214 — Зх3 + 5x2 + 1'

A:

Q: x* +x² – 1 limx→c x²+5

A:

Q: 5x3 -7x4-2x²+3 2x3 - x² +1 a. lim X>-00 | 5x³ – 2x² +3 b. lim 2x3 - x² +1 X→+∞

A: Here given as…

Q: (3x2 3x2 4. lim x00 x--1 x+1 А. 1 B. Undefined. С. 1/2 D. -00

A:

Q: 3. 15. lim y- y+4

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: x²+x-2 1. lim X-o 4x-1

A:

Q: 2-4x3 3. lim X→0- 5x²+3x³

A: To evaluate: limx→0-2-4x35x2+3x3

Q: lim (4x2 + 2x + 5) = 5x→0

A: We will plug x=0 in place of x

Q: x2 + 6х + 5 lim х— -1 х — Зх -4

A: Given,          limx→-1x2+6x+5x2-3x-4

Q: V5x+4-3 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: 2x2-V2(3x+1)+2 4. limx-1 X-1

A: Here we have to find the limit of  A=limx→1 2x2-2(3x+1)+2x-1

Q: 2x2-3x-2 1. lim x→2 x-2

A:

Q: 2 lem -9 ズ→ス x-4

A:

Q: (8x²-8x²e* 5. lim x3 А. 8 В. 1 С. -8 D. 0

A: We will find the limit

Q: Зx3-9х2 +х-3 3- lim x-3 x-3

A: On directly substituting the limit we obtain indeterminate form 00, so this is the wrong approach.…

Q: lim (5x + 2) = 17x→3

A: We will find the limit by substitution

Q: X- 2 lim X- x² + 2x + 1

A: Given,          limx→-∞x-2x2+2x+1

Q: Draw y² = f(x) 1+ (1,-1) 2 (2.5,1)

A: We have draw the graph of y2=f(x)The procedure is given below

Q: lim (1 – 3x² )= x-2 а. -13 b. 11 С. 13 d. -11

A: By the linearity of limit of a function we can solve the given problem

Q: х?- 5х + 4 5. lim X→4 x2 - 2x – 8 D. 3.-를 C. - A.

A:

Q: 3x 2х 2) Lim х-1 х+1° X → 00

A: Given,   limx→∞(3xx-1-2xx+1)

Q: 5x+4 lim X=-0 V9x2 –1 X =00

A: Consider the limit: limx→-∞5x+49x2-1 Expand the fraction:…