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lim(x to 0) (x tan 2x -2x tan x)/((1- co...

` lim_(x to 0) (x tan 2x -2x tan x)/((1- cos 2x)^(2))` equal

A

1

B

`(1)/(2)`

C

`-(1)/(3)`

D

`(1)/(4)`

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The correct Answer is:
B
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AAKASH INSTITUTE ENGLISH-LIMITS AND DERIVATIVES -Section - B
  1. The value of lim(x to 0) ((1)/(x) - cot x) equals

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. lim(x to 2^+) (([x]^(3))/(3) - [(x)/(3)]^(3)) is where [x] represents ...

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  18. underset(x to 2)(Lt) {[x - 2] + [2 - x] - x} = where [.] represents gr...

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  19. If {x} denotes the fractional part of x, then lim(x to 0) ({x})/(tan ...

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  20. The integer n for which ("lim")(xvec0)((cosx-1)(cosx-ehatx)/(x^n) is f...

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