sin 21 lim 2t

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A: Given,  sinhθ = 32  We have to find coshθ, tanhθ  and  cothθ.

Q: 1 (a) lim 2x+sin x 5x+2 (b) lim 1 (c) lim cos -

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

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A: Topic = Limits

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A: Solution: The objective is to find the value of the given expression

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A: Here we will use L'hospital rule     limx→a fxgx  in 00 or ∞∞ form =limx→a f'xg'x   and Lebnize rule…

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Q: 3x²+x d (sin-()+sec='(x) (1) Compute lim cot-1(3x+*+1) (ii) Find- X+00 3x2-7 dx tan-1x+tan-1

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A:

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Here we apply l Hopital's rule.

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A:

Q: b) lim, . sin(8z)

A:

Q: 57 6. Find an equation of the tangent line to y = f(x) = cos²(x) at %3D

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Q: Graphs of y = sin 0 and y = cos0 over [0,2π].

A: as we know the value of sin 0 is 0  so the given equation becomes y=0 which forms an x- axis only…

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A:

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A:

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A: The Given problem is:…

Q: (B): Find the tangent equation to the curve y = sin² x at point x = 7. (C): Solve the following…

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Q: 1. limg sin(x)

A:

Q: Evaluate the limit.

A: limt→01-cos2tsin23t

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A: Given:

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A: Given limx→x+1+sin(4x)1x

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A:

Q: 15) lim cos (2x)

A: Let fx=cos2x

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A: limx→af(x),  by completing a table of functional values. step 1: choose two sets of x-values—one set…

Q: (b) Write lim > sin n as a definite integral on the interval [0, 7]. Use this definite integral to…

A:

Q: Evaluate the limit.

A: limt→0tan 4tt sect

Q: B) If sinh 0 V3 Find cosh 0, tanh 0, coth 0.

A: Given: sinhθ=32 To find: coshθ, tanhθ, cothθ. Solution: We have identity, cosh2θ-sinh2θ=1 Putting…

Q: **. (1) lim,- V1+cos 2x 4 (x-) Q3) Find:

A:

Q: Q1: lim,»1 x(1 – cos-)

A: Evaluate: limx→1 x1-cos1x

Q: Q1 : limx¬1 x(1 – cos-)

A: To find the limit

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Q: 2) lim sin 4x

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Q: 2-t+ sint 45. lim t+ cos t

A: We have to find he limit: limt→-∞2-t+sin tt+cos t

Q: :(3:+a- (メ+) tanx tHany 1-tanx tany to

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: 4 lim sin(x) х>0 х 41

A: Given that

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Q: Find the arc length of f(x) = In(sin(x)) for - 10 8

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Q: 1 lim, (e** - 1)sin-+9cos x . x0

A: Given: limx→0ex2-1sin1x+9cosx we know that  limx→0ex2-1=0 and  limx→0sin1x=-1 to 1 so,…

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Q: 7x( cos (4x) – 1) Use l'Hôpital's Rule to evaluate lim sin (5x) – 5x

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Q: S lim 1 (1+x)2+n³ cos (nº + x³) dr

A: HINT:  Used Integration formulas and limit formulas.

Q: tan 3x lim sin 8x

A:

Q: Solve without a calculator: lim (sin (7h) / h) as h approaches 0.

A: