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Let lim(x to 0) ("sin" 2X)/(tan ((x)/(2)...

Let `lim_(x to 0) ("sin" 2X)/(tan ((x)/(2))) = L,` and `lim_(x to 0) (e^(2x) - 1)/(x) = L_(2)` then the value of `L_(1)L_(2)` is

A

4

B

8

C

6

D

2

Text Solution

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The correct Answer is:
B
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AAKASH INSTITUTE ENGLISH-LIMITS AND DERIVATIVES -Section - B
  1. Let lim(x to 0) ("sin" 2X)/(x) = a and lim(x to 0) (3x)/(tan x) = b, t...

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  2. Let lim(x to 0) ("sin" 2X)/(tan ((x)/(2))) = L, and lim(x to 0) (e^(2x...

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  3. lim(x to 0) (log (1 + 2x))/(x) + lim(x to 0) (x^(4) - 2^(4))/(x - 2)...

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  4. lim(x to oo) (sqrt(x + 1) - sqrt(x)) equals

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  5. The value of lim(x to 0) ((1)/(x) - cot x) equals

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  6. Evaluate underset(xtooo)lim[(x^(4)sin((1)/(x))+x^(2))/((1+|x|^(3)))].

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  7. lim(x to 0) (x tan 2x -2x tan x)/((1- cos 2x)^(2)) equal

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  8. The value of lim(x to 1) (x^(5) - 3x + 2)/(x - 1) equals

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  9. The value of lim(x to 0) (tan x - sin s)/(x^(3)) equals

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  10. lim(x to 0) (2^(x) - 1)/(sqrt(1 + x) - 1) =

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  11. The value of lim(x to 0) (log (5 + x) - log (5 - x))/(x) equals

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  12. If m,n in I^(+), then lim(x to 0) ("sin"x^(n))/(("sin"x)^(m)) equals

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  13. The value of lim(x to (pi)/(4)) ("sin" x - cos x)/((x - (pi)/(4))) eq...

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  14. The value of lim(x to 0) ("sin" (pi cos^(2) x))/(x^(2)) equals

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  15. The value of lim(n to oo) (2n^(2) - 3n + 1)/(5n^(2) + 4n + 2) equals

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  16. Evaluate the following limits : Lim(theta to pi/2 ) (sec theta - ta...

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  17. The value of lim(x to oo) (sqrt(x^(2) + x + 1) - sqrt(x^(2) - x + 1)) ...

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  18. The value of lim(x to 0) ((1)/(x^(2)) - cot x) equals

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  19. Evaluate the limit: ("lim")(hvec0)[1/(h(8+h)^(1/3))-1/(2h)]

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  20. underset(xtooo)lim[sqrt(x+sqrt(x+sqrt(x)))-sqrt(x)] is equal to

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