sin(2Tx) lim x → 6 x² – 36 -0.3333 T O 0.1667 ↑ O -0.1667 T O 0.3333 T

Q: lim = 0 || x→00 X X 00

A: To show: limx→∞1x2=0 Solution: Given limit is, limx→∞1x2 As,x→∞,⇒x2→∞And,1x2→0 (As,1∞→0)⇒limx→∞1x2=0

Q: 2 lim In (cos x)e

A:

Q: lim. 3cosx x—> infinity

A: Explanation of the answer is as follows

Q: (c) lim →1 是 æ-1 1 T-1 = 3.

A:

Q: x 3| lim x→3 3- x

A:

Q: Find Lim as x approaches 0 of the function cos(4x-1)/2x

A: Given: limx→0cos4x-12x To find:  The limit limx→0cos4x-12x

Q: Let f (x) be equal to -x + 1 for x < 0, equal to 1 for 0 < x < 1, equal to –x + 2 for 1 < x.…

A: To evaluate the integral

Q: lim x-0+ x lim x-0-x² g. h. 2 1+x i. lim (¹+2) ² →? x-2

A: Note:-Since you asked multiple sub parts questions, according to our policy we can solve only first…

Q: Vу+4-2 lim y→0 y 1 O 2 1/4 O 1/2

A: Limit of a function at a point exists if both the left-handed and right-handed limits exist and are…

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A:

Q: e2t – e-2t – 4t lim t-0 t – sin(t) (use L'Hospital multiple times)

A:

Q: (A) f(x) = √√√x + 2x (B) f(x) = √√√x – 2x² (C) f(x) = 2x² + √x (D) f(x) = 2x − √√x

A:

Q: For what values of a and b does lim x→0 a = b = sin (2x) x³ +a+ b 2/2) = x² = 0?

A:

Q: 1 lim (2 x→+∞ x3 Select the correct response: |

A:

Q: x2 – lim x + sin x 2x x→0

A:

Q: Find lim n→∞ n + cos(x) Jo ne + sin(x) So -dr.

A:

Q: 2a*y? lim (2,u)(0,0) xª + 3y4 O A. 2 B. Does not exist C. O D. 2/3

A:

Q: Find a harmonic function o on the upper half-plane that takes values ø(x) = 0 for |a| > 1 and $(x) :…

A: Sol

Q: dx 1 +X |1- (Tan (x) )2 12

A:

Q: B. Prove the following: NO Differentiation 16-x 4. lim 1x16√x-4 = -8 sin 5x 1 x→0 sin 10x 2 5. lim…

A:

Q: Q1: lim,-1 x(1 – cos-)

A: The objective is to find the value for limx→1x1-cos1x Since the given function is continuous…

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A: Let's find.

Q: х +хсoS X 31. lim x→0 sin x cos x

A:

Q: 2 sin(Tr) Va – 1 Find lim

A: Explained below

Q: lim x→π/16    tan(48⋅x) =

A: Given limit: