10 sin(0-5) Find lim 0-5 02-20–15

Q: 8 sin 2x Find the value of lim z 20 7 sin (2x2 + x) 16 7 8 25

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Q: sin 3x (c) Prove the value of lim Do NOT use L'Hospital's Rule. 0 COS 4x

A: To determine the value of function on the given limit.

Q: sin 9h lim h→0 h

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Q: 1- cos x The lim X40 sin x is equal to O 2 Zero O-

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Q: х+ sin 2x lim х-2 х — sin 2x O 2 О 13 O -3 О 12 O other:

A: To find: limx→2 x+sin2xx-sin2x

Q: ain(2 9. Find lim 10. Find lim sin(3) 11. Find lim 1-sec(x) 12. Find lim sin ( -9 T a-3 24

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Q: Evaluate the limit.

A: Given limit: limh→0 sin2h sin3hh2

Q: x + 2 (16. lim x→-3- x + 3 18. lim cot x x? – 2x 20. lim .2 x→2- x² 4х + 4 Зх + 5 22) lim x→0 x – 4…

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Q: II. INDETERMINATE FORMS tan 2x-2 sin x 4. lim x3 x →0

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Q: Indeterminate Form 1 1 6. lim x-0 sin 2x

A: According to Bartelby's guidelines, we can only solve one question at a time, please post again to…

Q: sin 2h sin 3h lim h2

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Q: Use the table to find the indicated limit.

A: Given tabular data is

Q: b→-∞ J tan- ((b+3)/4) None of these tan (3/4) d0 lim b→-∞ tan-! ((b+3)/4) sec- (3/4) do b→-…

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Q: Find the limit

A: We know that cos0=1  For x=0-, cosx will be less than 1.  So, |cosx-1|= -(cosx-1)= 1-cosx for x=0-…

Q: cos (+h)-cos(3) COS h I {+h)- - 3 3 h 3. Evaluate lim →(7/3) COS 4. Evaluate lim ₁0 π Cos

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Q: cot2 3x lim (sec' 2x)o x-0

A: Given: L=limx→0sec32xcot23x

Q: cos x2 - 1 2. Find lim→0 2x 81,341 123

A: Answer and explanation is given below

Q: x² - 4 3 X-2 x³ -x-6 1. Lim 1 X-0 X 2. Lim sin x

A: We have to find the limit of the given function. Here we use L hospital rule .

Q: 22. lim cos2 (x - tan x) cos 2x - 1 sin x 24. lim

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Q: tan- 2 Evaluate the following: limy- o(2 – x)

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Q: tan 3x Find lim x→0 tan 2x

A: We have to evaluate limx→0tan3xtan2x We know that limx→0tanxx=1 And Quotient rule of limit states…

Q: tan 3(x+h)-tan 3x 11. The lim A. 3 sec(3x) tan(3x) В. 3 sec? (3x) C. sec²(3x) D. 3 cot (3x)

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Q: cos(7x) – cos(9æ) lim x2

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Q: Use the shown table to find the indicated shown limit.

A: The given expression is limx→0sin3xx

Q: lim cos x→1 х — 1

A: Given, limx→1cos x2-1x-1

Q: 4.x - 1.) lim 32 1 — ебх-12 1+ 3x – cos x 2.) lim tan x

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Q: lim 1-e*) X-0 x sin x

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Q: 1- cosx The lim x→0 sin x is equal to Zero O 1 -1 2.

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Q: 9. Find lim sin(a*) sin(3) 10. Find lim

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Q: lim sin- is x-0 None of these -1 nonexistent infinity 1 lim x csc x is x-0 infinity O -1

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Q: 5-5cos 0 8) lim 0-0 sin 70

A: here on solving this we will use the L-hospital rule than we will get the limit of the given…

Q: X 1 sin x+sin 2x Q3/ Find the value of (x) if 5 -2 1= lim %3D 3x -1 2 1

A: We will seperately find the determinant and the limit. Then, we will equate them to solve for x.

Q: sin(5x) Evaluate lim X→0 2х

A: lim x→0 ( sin5x)/2x   We know that Lim x→0  (sin x) / x = 1   Lim.    5/2 ×    ( Sin 5x ) /5x x→0 ​=…

Q: sin 14x 27. Let L = lim х sin e 14x, that L = lim 14- (a) Show, by letting 0 (b) Compute L.

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Q: Indeterminate Form 4 7. lim 2 1–cosx x-0 4 1 8. lim x-2x²-4 x-2 9. limsin 3xcot 2x 10. limx²e 11.…

A: We have to determine the indeterminate forms.

Q: sin3 (x) Find lim х30 х-хсos(4x)

A: To evaluate the given limit.

Q: [3sin(θ)*cos(θ) - θ]/ [tan(θ) - θ]   lim θ -> 0

A: Let  f (θ) = [3sin(θ)*cos(θ) – θ] / [tan(θ) – θ].Find the limit of the function as θ approaches 0.

Q: sin (3t) (d) lim 1-0 sin (8t) sin (x-4) (е) lim x→4 х—4 cos (2z)-1 (f) lim-

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Q: sin(3) (x – 6) – 3sin(x – 6) lim x-6 (x – 6)2 + 2(x – 6) + 3 – 3e*-6

A: We have to find the limit.

Q: Lim X-70. z Sin (^/2)

A: To find limx → 0 x sin1x

Q: sin x - C cos 2 29. lim * - sin æ

A: We use l Hospital's Rule

Q: 9 sin 4x lim ] (Type an exact answer.) 5x

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Q: 1 33. lim х>о 2х + sin x

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Q: sin(4.x) Find lim 1-0 tan(2x)

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Q: sin 0 (a) lim- 0→0 60 sin (6r

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 03 sin- find lim 0→0 sin 02

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Q: lim) X+7 9 lim (2th) 2_2? h-70 lim coS X X-70 lim 4-x2 X-> 2 3-TxZ+5

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Q: 2 sin (5t) Use l'Hôpital's Rule to evaluate lim -5t t 0 -2 sin (5t) lim (Type an exact answer.) %3D…

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