Evaluate the limit. [A] 5 615 [B] = [C] O lim x-0 [D] 1 sin (2x)cos (3x) 5x 25 [E] }

Q: Plot the function and use the graph to estimate the value of the limit

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Q: Find the value of the following and justify your result. (a) lim | [(4x – 3) sin(æ)]/2n-1 dax (b)…

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Q: Compute the following: x2-25 lim x-5 i. x-5 lim sin x 1-cos x ii.

A: evaluate the limit in following way:-

Q: ex –(x+1) lim X→0 COSx-1 -1 1 -2 O O O O O

A: limx→0ex-x+1cosx-1

Q: Find the 2x -3 lim 4x +1 DNE O 1/2 2. What is the

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Q: Find a if the function f(x) = a sin? /3x2 1172 satisfies the equality: 16 f(5 +h) – f(;) lim 12 h→0…

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Q: Calculate the value of the limit below. Write your answer as a fraction in the form p/q in lowest…

A: In this question we have  limx→0sin 7x10x+(x2+1)(sin 10x)sin 7x here if we apply the limit directly…

Q: Give the following infinite sum and limit: 8 2n-1 3n+2¹ n=4 a) rsin r (b) lim 20 x² + e²-1

A: (a) To find the sum of series ∑n=4 ∞ 2n-13n+2 (b) To evaluate the limit limx→0 xsinxx2+ex-1     The…

Q: Find the limits

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Q: (c) lim X→0 cos(x)-1 + 2x4 22x²

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Q: Te (e) lim cos 6.

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Q: lim cos x→1 х — 1

A: Given, limx→1cos x2-1x-1

Q: TOC Evaluate the lim cos 3

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Q: Q1 : limx¬1 x(1 – cos-)

A: To find the limit

Q: [x²-3 lim g(x) where g(x)=3 cos(x-2) if x 2

A: The function is given by gx = x2-3if x<23if x=2cosx-2if x>2 To evaluate: The value of the…

Q: Find a)f og b)g of if f(x) = 2x – 3 g(x) = cosx = cOS X

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Q: 2. Find the limit of the following function sin(x - 4) lim- x-0 x- 2

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Q: Evaluate cot x – cos x lim z¬7/2 (T – 2æ)°

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Q: Suppose that Pr[A]=8/13, Pr[A|B]=5/7, and Pr[B|A]=5/8. Find Pr[A′|B′]

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Q: a) f(x) = 1+ Sinx b) f(x) = x² + 2x- 1 c) f(x) = 2* + 2 for all x eR for all x eR for all x eR

A: Given function are: [1] f(x) = 1 + Sinx   for all x ∈R [2] f(x) = x2 + 2x - 1  for all x ∈R [3] f(x)…