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If lim(xrarr0)(2asinx-sin2x)/tan^3x exis...

If ``lim_(xrarr0)(2asinx-sin2x)/tan^3x` exists and is equal to 1, then thee value of a is

A

2

B

1

C

0

D

1

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The correct Answer is:
B
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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Let f(x) be a differentiable function and f'(4)=5. Then lim(xrarr2)(f...

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  2. The value of lim(xrarr0)(int0^(x^2) cos(t^2)dt)/(xsinx) is

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  3. If lim(xrarr0)(2asinx-sin2x)/tan^3x exists and is equal to 1, then the...

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  4. The function f(x)=a sin |x| +be^|x| is differentiable at x=0 when

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  5. let f(x)={( int0^x|1-t|dt, xgt1),(x-1/2, xle1):} then

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  6. The number of points in (-infty,infty) , for which x^3-xsin x-cos x =0...

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  7. lim(xrarr0)((1-cos2)(3+cos x))/(xtan 4x) is equal to

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  8. The limit of xsin (e^(1//x)) as xrarr0

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  9. Let f(x)={f(x={(x^3-3x+2, xlt2),(x^3-6x^2+9x+2, xge2):} Then

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  10. The limit of sum(n=1)^1000(-1)^n x^n as xrarrinfty

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  11. The limit of [1/x^2+(2013)^x/(e^x-1)-1/(e^x-1)] as xrarr0

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  12. The limit of {1/xsqrt(1+x)-sqrt(1+1/x^2} as xrarr0

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  13. If lim(xrarrinfty)((x^2+x+1)/(x+1)-ax-b)=4 ,then

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  14. Let f(x)={(x^2|cos"pi/x|, x ne0),(0, x=0):}, x in R, then f is

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  15. Let alpha(a) and beta(b) be the roots of the equation , (root(3)(1+a)...

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  16. For every integer n, let an and bn be real numbers Let function f : R ...

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  17. If f: R rarr R is a function defined by f(x)=[x]cos((2x-1)/2)pi, where...

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  18. Consider the function f(x) = |x-2|+|x-5|, Statement 1: f'(4)=0 State...

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  19. Let R rarr R be a function such that f(x+y) = f(x)+f(y) AA x, y in R. ...

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  20. If lim(x rarr 0)[1+x ln(1+b^2)]^(1/x)=2b sin^2 theta, b gt 0 "and" the...

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