lim tan- (e*)

Q: Use Squeeze Theorem to evaluate lim x→∞ (cos x/ x)

A: It is known that the absolute value of the cosine function is not greater than 1, hence -1x≤cosxx≤1x

Q: Evaluate: lim (sec z sin z)ot z

A: Note: We are entitles to solve only the first question, unless specified To evaluate :limx→0(sec x…

Q: tan?x lim

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Q: To compute lim,_30+ (sinx) (In x), first re-write in which form? sin æ A. lim,0* īn z In a B. lim,0'…

A: Given that: 1. f'' at critical points.2. limx→0+(sinx)(ln x)

Q: Evaluate using substitution. lim 3 sin x x→ -π/2

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Q: 1 Evaluate the lim sin x>0

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Q: x + tan x 2? — 5х — 14 - (а) lim x0 3x + 4x² (b) lim (Do not use L’Hospital rule in part(b)) x7- x2…

A: Using rules of limit's.

Q: tan 5x lim x-

A: Consider the following limit: limx→0tan5xx Apply L'hopital rule to the above limit:…

Q: Evaluate: lim, 1+ (-1)2 tan(x)

A: Evaluate the following limit

Q: - What is lim tan(x)? Why? 2

A: To Find: We need to calculate the limit of tan(x) when x approaches (pi/2) from the positive or…

Q: -1 lim tan(In x)

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Q: 21: The final value of :* lim (In(x))?

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Q: Evaluate lim (sin z)an. 10.

A: **As per our guidelines we are allowed to answer only one question at a time. Kindly please re-post…

Q: lim e- = -3 since, as x → ∞, e¬ª gets closer and closer to –3.

A:

Q: lim tan 3x

A: To evaluate the limit using L-hospital rule:  limx→0tan3xe2x-1 Solution: We know that if there is 00…

Q: 4. Evaluate: lim (a² + e-*)(= cac r) エー→0+

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Q: Evaluate using substitution.

A: The given expression is limx→π4tan3x

Q: coshx Find lim. et

A: Coshx can be  written in terms of exponential as : Coshx = ex+e-x2

Q: evaluate using substitution.

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Q: Using e – N description to prove that lim - = 0.

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Q: Q\ Find lim tan(x)cos(x) O 2 -1

A: The given limit is of the form ∞0 form. Let L=limx→π2-tan xcos x⇒ln L=ln limx→π2-tan xcos x…

Q: tan (5x) lim x0

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Q: Evaluate using substitution.

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Q: Evaluate lim x tan a x - x cos x

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Q: tan s lim is Evaluate

A: On directly substituting the limit we obtain indeterminate form 00, so first we need to simplify the…

Q: 2t – 1 Evaluate lim,, tan-1, e> - t - 1

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Q: 3* Evaluate (a) lim sin y and (b) lim x→-I /x + 5

A: To evaluate: a) limy→π3 sin y b) limx→-1 3xx+5

Q: Evaluate using substitution.

A: limx→-π23sin x

Q: Evaluate: tan(5r) a) lim 12z b) lim (cot(8) + csc(0))

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Q: Evaluate: lim (cos x)=¹2 X x → 0

A: Since the numerator is positive and the denominator x^2 approaches zero and is greater than zero for…

Q: 1 lim x COS X

A: See this solution in below

Q: 8. Evaluate e8x - 1 lim sin (6x)

A: See the attachment.

Q: 25. - lim (tan x)*om

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Q: Find lim (e-2x cos x) (Hint: Squeeze Theor

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Q: Q: find lim 1-cosz

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Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) tan(4x) lim x-0 3x

A: Let's find.

Q: Use a table to evaluate lim tan z O Does not exist 8.

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Q: Evaluate lim I X - T

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Q: Evaluate lim, o[cos()].

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Q: tan 2x 27. lim x→0

A: Find the following limit

Q: 8. Evaluate lim sin7x. x0 3x

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Q: Evaluate lim sin(x)(x +2) 4 8 3x/2+8/2 8 O Does not exist

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Q: Evaluate using substitution. lim tan(3x) x→ π/4

A: Given: limx→π4 tan 3x To evaluate: The value of the limit.

Q: Evaluate the limit 3. Lim sin'a 9>0 sin a - tan a

A: Topic:- Limits Answer = -2

Q: O Evaluate the lim x sin (-), (Use Squeeze Theorem) 1-0

A: Given : The limit is limx→0 x sin 1x .

Q: lim (In x) =? x→1

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.