3. Find the limit. tan(5x) 0 sin(3x) sin(6x) (2) lim x04x-5x (1) lim

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Q: If f(x) = (1+%) 3 ) 6x *", find lim f(x).

A: We have to find limx→∞fx when fx=1+3x6x If we put limit value then we get that it is 1∞ form We know…

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Q: Find the value of the limit lim SINX X 0 2x 02x (a) 0 (b) 1 (c) 1/3 (d) 1/2 (e) 1/4

A: Here we have to find the limit of the function. In the first step use the property of the limit:

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Q: lim sin (-2 T x) = x → -3

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Q: Find the limit 3x lim0 tan(5x)

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Q: Find lim?→∞ for (5x2-100x+sin2x) / x2. Thank you!

A: Please see the below picture for detailed solution.

Q: 3* Evaluate (a) lim sin y and (b) lim y x-1 Vx +5

A: we have to evaluate the following: a)  limy→π3 siny b) limx→-13xx+5

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

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Q: Find lim f (x) if, for all x, 9 cos (4x) <f (x) < 8x2 +9. lim f (x) = %3D

A: The given inequality is: 9 cos(4x)≤f(x)≤8x2+9

Q: 10. lim ) 1 -1) A-0 hV1+h sin x 13. lim 0 2x-xr V8+x -2 (Hі 16. lim

A: We have to use proper techniques here.

Q: (3х + 3с if x >2 Let f(x) = {x2 - cx if x < 2 If lim f (x) exists, find the value of c. X-2

A: Limit of a function exist , when both sided LHL and RHL exist.

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Q: 5x + sin x Find lim

A: Here given limit as L=limx→∞5x+sinxx