sinx lim : = 1

Q: Investigate lim sin

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Q: GRAPH lim Sin (x) メ人 2.

A: If any function is continuous within a given interval, then its limit must exist in that interval.…

Q: Evaluate lim sin x.

A: Given: limx→∞sin x

Q: limx-->0 sin3x/ex-1

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Q: EXAMPLE 9 Using Substitution Find lim sin (1/x).

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Q: sin6x Find lim 7x

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

A: The formula of special limit is given by: limθ→0 sin θθ=1

Q: Find: tanx-sinx d) lim x3 4.

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Q: Can the Quotient Law be applied to evaluate lim sin x -? Explain. x+0 X

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Q: -1 sin (5x) lim

A: The given expression is limx→0sin-15xx the given expression is the indeterminate form 00 Apply L'…

Q: 6x-sin 2x 2x+3sin 4x 15. lim

A: Since you have asked multiple questions in single request. So we will answering only first question.

Q: ex-esinx lim= x→0 x-sinx

A: Evaluate the limit.     limx→0ex-esinxx-sinx

Q: Find the limits sin (sinx) lim

A: limx→0sinsinxx

Q: x-sin 2x Find lim 2х

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Q: Evaluate lim tan x - sin x sin³

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Q: Find the limit of the trigonometric function. lim 9 sin(x)

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Q: Evaluate lim (sin x)*

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Q: find limx->2 X-2 tanQ. Sin O 9) tan a-sin o-tanQ. Sin

A: To find the solution of given equations

Q: evaluate using substitution.

A: We substitute x=4

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: Given statement: limx→0sinxx=1

Q: Find lim Sin (X+2) X->2 x4x-2

A: Explained below

Q: Find lim. Sin (X/y X-T/4

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Q: Find the limit of the trigonometric function.

A: Given: limx→56sinx we evaluating given limit, we substitute x=56 in given expression

Q: Evalate lim sintsx)-tan ($x)

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Q: lim sec lim sec, = sec π.Χ. TEX JUI nin

A: given graph of f(x)=secπx4

Q: lim cotx As x approaches pi from the left side

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Q: Lim Arcsinx - sinx

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Q: Find the lim using l'Hospitals Rule tan (7x). Sin ( 8x) lim X>0

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Q: Find the limit of the trigonometric function. lim sin X 15 18

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Q: Find lim tanx-x x2 sinx X

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Q: Evaluate: 1 lim 2x sin 5x

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Q: 2x sin-1 lim х30 еx — х — 1

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Q: ton (ry) calculate the himit lim

A: First put the limit of y than x and simplify.

Q: tan x-x lim х-0 х-sinx

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Q: sint 1) lim(- 1+cost tcost 1+cost

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Evaluate using substitution.

A: We have to calculate the following limit L:

Q: Q1. Using Lopital Rule ,Find :lim -cos

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: sinh x Evaluate lim et

A: We have to find limit of given function limx→∞sinhxex We know, sinhx=ex-e-x2 limx→∞sinhxex

Q: Find lim sin (4 T x). I -3

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Q: Evaluate: lim sin(2x) A) 2

A: Given that: limx→5π6sin(2x)

Q: 2tanx-sin2x 6. lim X0 x3

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Q: cosx lim

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Q: 8. Evaluate lim sin7x. x0 3x

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Q: -tan X SinX-CosX Lim

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Q: Evaluate lim,→ cosx - sinx )(cosx + sin x)

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Q: Evaluate L = limx→∞  (X2 sin(1/x)

A: We have Let's first try to use direct substitution   We can use the L'Hospital rule if our limit…

Q: Evaluate lim (sin x)" エ→号一 tan z

A: