(c) Prove the value of lim Sin 3a o Cos 4Do NOT use L'Hospital's Rule.

Q: What is lim Sináx, cosx А. 0 В. 6 С. 1 D. Ø (DNE) Ø (DNE)

A:

Q: Find the limit of the trigonometric function.

A:

Q: Plot the function and use the graph to estimate the value. lim 2x − cos x/xx→0

A: Given:

Q: Find the limit. 15) lim V3 + cos2 x A) 2 16) lim (3 sin x - 1)

A:

Q: Evaluate using the Squeeze Theorem

A: To find the limit  limx→0tanxcossin1x

Q: What do the limits limh→0((sin h)/h) and limh→0((cos h - 1)/h) have to do with the derivatives of…

A:

Q: Find the limit. sin?(9x) lim

A: L’Hospital’s Rule : If  limx→af(x)g(x) = 00 or ∞∞  (indeterminate forms) then  limx→af(x)g(x) =…

Q: Use l’Hôpital’s rule to find the limits

A: The L’Hospitals rule is used to obtain limits of a function when it occurs in the indeterminate form…

Q: 2) Show that sinax _a lim x-0 tanbx b %3D

A: Show that  limx→0sinaxtanbx

Q: Evaluate the limit. lim (1+ sin(6æ))cot (= ) x →0+ ||

A:

Q: b) If x sin x 2 - 2 cos x hold for all values of x close to zero. Find limx0 xsinx ? 2-2cosx

A: Given, limx→0xsinx2-2cosx

Q: - Show that lim sin a =D0.

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

Q: Find the limit of the trigonometric function .

A: The given limit limx→0cosx-sinx-12x can be evaluated as, limx→0cosx-sinx-12x=cos0-sin0-12×0…

Q: Find the limit of the trigonometric function lim 5 sin(x) I/2

A: Given  limx→π25sinx

Q: In(cos ax) limx-0 ? In(cos bx)

A:

Q: Prove that lim |x|sin(1/x) = 0.

A: We need to prove that limit of given function is zero.

Q: True or false: lim(sin) as x goes to infinity exists.

A: Given, limx→∞sinx Find in the following that this limit is exist or not.

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

A:

Q: find the limit or explain why it does not exist

A: limx→0cos2x-1sinx

Q: Find the limit of the trigonometric function .

A: On directly substituting the limit the indeterminate form 00 will be obtained, so first we need to…

Q: Find the limit of the trigonometric function. (If an answer does not exist, enter DNE.) lim 8 cos x…

A:

Q: Evaluate using substitution.

A:

Q: Find the limit of the trigonometric function.

A: limx→1cosπx3

Q: Find the limits

A:

Q: (a) Show that tan x = sec?x using quotient rule. dx x+8 (b) Find lim X-2 x+2

A: Solution-

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

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Q: cos x D. Explain why we cannot apply L'Hôspital's rule to evaluate lim x-0

A: Given query is to find why L'hospital can not be used.

Q: tan Ø 10) lim Ø→0 sin2Ø

A:

Q: . Does knowing that | sin (1/x)| < 1 tell you anything about lim (x,y)→(0,0) y sin -?

A: To find the limit of the problem

Q: Find the limit of the trigonometric function.

A: To find: The limit limx→5π3cos x. Formula used: Trigonometric reduction Formula: cos 2π-α=cos α…

Q: Clearly explain why lim (sin-(t) is equal to 1 and not zero. t+0+

A:

Q: sin(6t) lim +0 sin(11t)

A: The limit of a function (expression ) is a value of that function (expression ) approaches as the…

Q: Show that lim |x|cos 0.

A: We have to prove that limx→0xcos1x4=0. Use property, if limx→a−fx=limx→a+fx=L then limx→afx=L. First…

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

A: Given: y=limx→02x-cosxx we know that graph of given function can be drawn as below

Q: 3. Use Squeeze Theorem to evaluate lim 1-0+ sin(In r) In(sin æ)"

A:

Q: Find the limit of the trigonometric function.

A:

Q: 30. Use the fact that lim x→0 sin x X = 1 (shown in video) to show lim x-0 1 - cos x X = 0

A: we will find the required.

Q: エ→2ー Prove that lim sin(1/x) does not exist. Lot II

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Q: Find the limit of the trigonometric function.

A: The given expression is limx→0cosx-sinx-12x

Q: Find the limit of the trigonometric function.

A:

Q: Show that lim x|cos )= = 0.

A:

Q: Find the limit of the trigonometric function. lim cos x-7 3

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Q: Why is it not possible to evaluate by direct substitution?

A: Given: limx→0sin xx To check: Why it not possible to evaluate by direct substitution.

Q: 1 Prove that lim dx exists and find its value. (1+x?)" 1/2

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

A:

Q: Find the limit of the trigonometric function.

A: Given, limx→2-sinx12 To solve the above limit.

Q: 4. Find lim (sin¬ V)cschr. r0+

A: The given limit,         limx→0+sin-1xcschx

Q: Use the limit lim 0-0 sin e 1 to find the value of lim 0-0 1-cos 0

A: Given limθ→0 θsin θ=1⇒ limθ→0 θ1-cos θ=00

Q: -) Compute lim_(sec r – tan x).

A: