4/2+81x 3 X→∞0 X +7 Find lim lim X→∞0 2+81x 3 X +7 = (Simplify your answer.)

Q: Find the following: (1) lim *-1 3 X-4 x-4 Ix-21-3 (2) lim X-5 x-5

A: Here we have to find the following given limit value

Q: lim2

A: Explained below

Q: х2 — 2х-15 x2 — х— 20

A: We have to evaluate the following limit: limit as x tends to 5, [(x2 - 2x - 15)/(x2 - x - 20)]

Q: What is the 2x - 6 lim x2- x2-4 - 00 00 2/3 8.

A:

Q: Vx - 3 2. lim x 9 x- 9 Your answer 1 3. lim X.+ 2 2 3.

A: Consider the limit: To rationalize the numerator,

Q: 6x5 + 1 lim x→00 2x5 +3x2 + 4

A:

Q: 1. Find the value of the expression lim x²+x+21 X-3 x-1

A:

Q: lim x→2- 2 (1₁ 3 1² 8 x³8 x-2/

A: Given;  limx-2-[1/(x3-8) -2/(x-2) ].

Q: t -9 9. lim- -3 2t +7t+3 1 1 11. lim x-3

A: 9) limt→-3t2-92t2+7t+3=limt→-3(t-3)(t+3)(2t+1)(t+3)=limt→-3t-32t+1=-3-32(-3)+1=-6-5=65

Q: lim xV* = 1 x-0

A:

Q: 1/2 lim (3* + x) x→+∞

A: Given :limx→∞3x+x1x

Q: Explain why lim(3x² + &x) can be evaluated by substituting x = 2.

A: Let f(x) is any function and if f(x) has no holes or asymptotes then limx→af(x)=f(a)

Q: (x+2)2 - 4(x+5) limx x- 4

A: Given,             limx→4x+22-4x+5x-4

Q: lim (2x-5x) is x--2

A:

Q: 6-x-1 X-5 √9-x-2 Evaluate lim

A:

Q: a lim 6. *a Jx- Ja -x

A:

Q: x*+x3 2. Calculate lim x→0 12x3+128

A: limx→∞x4+x312x3+128

Q: 6. lim x2 - 5х + 4 x→-2 3-Vx+6 8. lim х-з х+3

A: Limit properties: limx→afx±gx=limx→afx±limx→agx limx→afxgx=limx→afxlimx→agx limx→acfx=c limx→afx

Q: 4 Find Lim x0 2ex-12 A.- В. 51 C. -0.4 D. 0.5 2/7

A:

Q: 2 + 3x – 4, X 1. What is lim X-+2 2.

A: Given the limitlimx→2x2+3x-42

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

A: limit