14. lim cos x 15. lim cos(x+ sin 16. lim

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

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Q: 1+ sin x i 3. lim- 1 I+ cOs x

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Q: Give reasons for your answer

A: The graph of the function sin (1/x) is,

Q: 8 sin 3+ 5/ is equal to The number lim | sin(x) dx E. 5. 8 sin(x)dx 8 | sin(x) dx 3. 0 8 8. sin(x)…

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Q: 1-cos' (x) lim

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Q: lim x → ∞ cos(16/x)^(13.32x^2)

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Q: 65. lim (cos x)/

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Q: 1 5 arctan x/ = ? Use L'Hospital's Rule 4 lim 4 arctan-

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Q: lim cos x+4e* is 5er

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Q: ((주)' lim x (1- cos () COs X->- 00

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Q: 111. lim cos x -2

A: To find,

Q: 1 lim x? sin 1-cos³ x lim X→0 sin² x csc? x-2 lim п cotx-1 4

A: L'hospital rule: If limx→cf(x)g(x)=00 or ∞∞, then limx→cf(x)g(x)=limx→cf'(x)g'(x). Limit formula:…

Q: 27. lim (x + cos

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Q: 2 In (1+ lim X -00 3 tan 2 x

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Q: 13) lim (n z 2-70 24) lim e- é- ース x - sinx 34) lim (Csx - Cotx)

A: Wherever applicable we used L'Hopital rule

Q: Q 3/ x-sin x A- Find lim,0 1-cos x.

A: Explanation and solutions is given below....

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

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Q: Find the limit

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Q: 1) lim (tan x) cos x X-2

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: 1 COS X 13. lim- ズ→0 14. lim e -3x+4 15. lim 4x+7 ー-00

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Q: lim x goes to pi/2 at cot x

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Q: Find the limits

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Q: 2 3 lim x2.tan=.sin- x) X-00

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Q: 1. 5.lim cos(x) sin(x)

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Q: lim cos x→1 х — 1

A: Given, limx→1cos x2-1x-1

Q: 1) lim X-2 2x-4n x(1-cosx) 2) lim х-0 tan(tan?x)

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Q: x²+3 1) lim X00 x2+4 1-cos x sin x 2) lim- X-0 sinx 3) lim X-0 ex-1

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Q: 6.The lim x +3 is equal to 1S 3x-4x+n sin t. 7.The [1 is equal to

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

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

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Q: 1 - cos b. lim COS x 1 x0cos x 1 20. a. lim x0COs x 1 a inil ol l

A: Given information:The given limit function is shown below:a)

Q: 1 2 COS X = ? Lim x→0 cosh x

A: Use the properties of exponential and logarithmic functions a=elna and lnam=mlna, to simplify the…

Q: 2x tan x+ cos I COS T lim

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Q: 18. L6. 4- x² lim lim x² + 3 x→2 3- vx²+5 lim (2x x →2 x →0 21. 19. 20. lim v25 – x2 lim 12 sin (÷)…

A: We have to find out limit

Q: (x-sin x) A- Find lim,-0 1-cos X/

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Q: 4.x (a) lim 10 sin 5x sin() (b) lim 5x sin 3x (c) lim 10 x2 tan 2.x

A: Read the following instructions once 1. Short method is provided at the end of the subpart (c)…

Q: 1– tan(*,) [1– sin x] lim 1+ tan(x (¥2) [z – 2x] x- - 2 1/8 1/32

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Q: 1 Evaluate: lim (1+2 sinh x)+20 x→+∞

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Q: Q3/ lim Evaluate 2 (1+ cosx) ) sec x

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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: 2 sin x-sin 2x lim х-sin x 3 O -3 6 -6 о O O

A: Given- limx→02sinx-sin2xx-sinx To Find- The valuie of the limit.

Q: 2 cosh 2, 2 0. Then the lim f(x)

A: Given function is fx=2coshx , x<0sinhx  , x≥0

Q: 4+ sin x d. lim - 1- i cos(x+x) +2 g. lim

A: To find out the limit, substitute 0 for x and find out the limit value

Q: cos x 13. lim x-(7/2)* 1 – sin x e21 – 1 15. lim - -0 sin t 1 - sin 0 17. lim 0/2 1 + cos 20

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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: 73. lim In(cos x)

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Q: x2 h) lim - x+0 1- cos?2 x tan 7x i) lim X-0 sin 3x sin(x? + 3x + 2) ji) lim x+ 2

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Q: ´1-cos x 1-cos³ 11. lim sin? x

A: The given data is limx→01-cos3xsin2x Here we use L-Hospital's rule and the L-Hospital's Rule states…

Q: Find 2 sin(x + sin(x + sin a)) – 2 cos(cos 1) lim 2x – T ithout using L'Hôpital's Rule.

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Q: lim cos xx x-0

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