2.x – 3 - Find lim x→-∞ 4 – V5x² – x – 2

Q: Suppose that lim 4f(x)+ 2x – 14 5. Find lim f(x). z→1 %3D z→1 x – 1

A: Given

Q: x-9 Q.4 Let f (x)={ x+3 ,x#3 Find the value of k for which limf(x)=f(3). k,x 3

A: Given

Q: 1. lim (x – 4)(x² + 8) x→5 2(t-10)² 2. lim t→10 t

A: Let P(x) = a0+a1x+a2x2+.....+anxn be a polynomial, where a0, a1, ...., an are real numbers and n is…

Q: X -2х+5 lim X→+0 7x° +x+1 a.

A:

Q: Find lim,-1 f(x) -3 -2 -1 2 O lim,→-1 f(x) = 2 O lim,-1 f(x) = 1 O lim,-1f(x) = -1 Lx→-1 f(x) = –1 O…

A:

Q: x – 4 - 3. Evaluate lim using a table of x→4 - functional values.

A: Here we have to find the following limit :                  limx→4x-4x-2

Q: а) If V5 - 2r s f(x)s V5 – x² for -1sxsl Find lim,o f (x) ?

A: Given that                                5-2x2≤f(x)≤5-x2  for  -1≤x≤1 we have to find…

Q: 1 — х b. lim х36 (х — 6)2

A: b) limx-6(1-x) /(x-6) 2 a) limx-5 (x-1 sqrt(3x+1))/(x-5).

Q: Find lim r(t) t →∞ 3t if r(t) = (2+e¯³)i + 2tan ¹tj + - 4t³ – t 2t - t³ k

A: If rt=2+e-3ti+2 tan-1 tj+4t3-t2t-t3k, then to find limt→∞ rt.

Q: x* - 1 7. lim X-1+ x - 1 - 1

A:

Q: 4-x 2.2) lim x→2- x² – 3x+2

A: The given question has been solved in detail.

Q: If V5 – 2x? < f(x) < V5 – x? for -1 <x < 1, find lim,-o f(x).

A: Given  5-2x2 ≤ f(x) ≤ 5-x2 for  -1≤x≤1.

Q: 1 4. lim %3D x→0 x²(x + 7)

A:

Q: 2-x lim x→1 (x − 1)²

A: The given limit is .The aim is to find the limit value.

Q: V 2x - lim =? X→1 Vx3 + x – Vx² + x 1 + 2 + ...+n lim =? n2 n→∞

A: We will solve the problem

Q: Given Sla- 3| 3 x – g(x) = What is lim,3- 9(x) ? x- 9- O O 1 O -1

A:

Q: х —9 Determine lim V6 - Vx-3 x→9 |

A: HERE WEMUST KNOW ABOUT L'HOPITAL RULE

Q: 3 15. lim V3h + 1 + 1

A: Given, limh→ 033h+1+1 We have to calculate given limit as follow :

Q: 4. lim x5 – x* – 2x3 – 3x2 – 2x + 1 X--00

A:

Q: 1. Find lim 1 x3 1 8 x+2- x² - 4x +4

A: In this question, the concept of limit is applied. Limit In mathematics, limits are the points at…

Q: Q.1: Evaluate Vx+25 -5 х2-10х (1) lim (2) lim x-12 Vx+4 x (х+3) 2x2+3 x2-25 (3) lim (4) lim X-5 x-5…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: lim x-3-j 2 x²-8-j6 2x²− x³ −3l+x −j37

A:

Q: x³ – x² – 7x + 3 lim x-3 x3 – 8x – 3

A: L'Hospital's rule provides a technique to evaluate limits of indeterminate forms, such as 00, ∞∞,…

Q: 3 1. lim h→0 √√3h+1+1 2. lim √22 - 10 z→4 x-5 x 5 x²-25 3. lim 4. lim x→-3 2-√√x²-5 x+3

A:

Q: Let f(x) = x² - 4x-21 X-7 Find a) lim f(x), b) lim f(x), and c) lim f(x). X→7 X-0 X→-3

A:

Q: Find the value of a so that √x²-5x = 4 Vx2 lim √x² + ax - X18

A: We are required to find the value of a for which limx→∞x2+ax-x2-5x=4

Q: 2. Let x+1 r -1 Determine if lim f(x) exists. r-1

A: The objective is to determine if the limit exists or not.

Q: x - 9 lim x→9 /x - 3

A:

Q: 9 – x2 lim x→3 V – x² 3+2x

A:

Q: 2x — х+3 lim 2 x→-∞ x - 2x+5 X-0 X

A:

Q: 2 – 4x lim x→2+ x –2

A: