12. Let L = lim a>0. If L is finite, the (A) a=1 (B) a=2 (C)L- (D) L-

Q: Let x₁ = 5 and x n+1 = X n 2+4 2x n n 1. Find lim x " n n→ ∞

A:

Q: Find the limit

A: Given : limx→12x3-6x+5

Q: 4. a. Evaluate lim x - x-6 x→3 x2 -9 x+1 lim x→-1 /3 - x –2 b. Evaluate

A:

Q: Compute lim (Vr? + 1 – x).

A: Given limit: limx→∞ x2+1-x

Q: Suppose lim f1x2 xSa o and lim glx2 = ". Prove that xSa %3D lim 1f1x2 + glx22 xSa

A:

Q: Q4 / Vx+1–1 A ) Find limx→0

A:

Q: A) Vx2 +8-3 lim x-1 x+1

A: By using l'Hospital's rule we solve the given problem as follows :

Q: 2 3 ( - 1²/1 ) ² 3 lim 3 X→∞ x

A:

Q: 7x If h(x) = (1 + 4)¹x, find lim h(x) X→∞

A: In the question is :h(x)=1+4x7xlimx→∞hx=limx→∞1+4x7x

Q: C Lim x+h -rx , hto. H.. h.

A:

Q: Calculate 14. lim (√x² + 1 - x). X18

A: Using series expansion about x =inf

Q: 2. Find lim (√t+3, In(2 — t), ²). t-x

A: Given: limt→∞t+3, ln2-t, 2t

Q: Let h(x)

A: hx=x2,      x<23,       x=22,       x>2 Now, The left hand limit at x=2 is,…

Q: Find the lim tan ( X-0

A:

Q: b) Evaluate lim g(x) if 2x − 1 ≤ g(x) ≤ x² − 2x + 3 x→2

A: Above question is solved.

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

A: Given problem:-

Q: Find the limit limx→∞(1+1x)3x.

A: we have to find the limit : limx→∞(1+x)(3x)

Q: 3 4. lim 2

A:

Q: 4. Find lim (x² – 9)/(x² – 8x + 15)

A: To find the limit of given function.

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: 1 (B). Evaluate lim (3 – x) x-2 x→2

A: Given that  lim x to 2 (3-x)^(1/(x-2))

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: 5. Calculate lim f(x), where x+1+ f(x) = = its 12.05 (c)-2 (d) 2 (e) does not exist 5A 5B if x 1 x-1…

A:

Q: x2 2. Find lim x→0 2ª – 1

A: We want to find limit of the function.

Q: B) By using (A), Find lim /-

A: limn→∞1n

Q: If f(x) = 2[g (x)]³+7, then what is f'(x)? (A) f'(x)=6g (x) g'(x) (B) f'(x)=6g'(x)…

A: Use the chain rule of differentiation and then solve .   As per the bartleby guidelines I am allowed…

Q: x.2* 15. lim x-0 2*-1 (A) In 2 (В) 1 (С) 2 1 (D) 1n 2

A:

Q: lim In(10x) x-0t

A: To find the below right-hand limit.