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If Lim(x to 0) (sin2x+asinx)/(x^(3))=b w...

If `Lim_(x to 0) (sin2x+asinx)/(x^(3))=b` where `a,b in R` then (a,b)=

A

`a=-2,b=-1`

B

`a=2,b=-1`

C

`a=-2,b=1`

D

`a=2,b=1`

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The correct Answer is:
A
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AAKASH SERIES-LIMITS-PRACTICE EXERCISE
  1. Lt(x to 0) (sin(x^(0)))/(tanx^(0))=

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  2. Lt(x to 0) ((cosx)^((1)/(2))-(cosx)^((1)/(3)))/(sin^(2)x)=

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  3. If Lim(x to 0) (sin2x+asinx)/(x^(3))=b where a,b in R then (a,b)=

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  4. Lt(x to 0) (a cosx+bx sin x-5)/(x^(4)) is finite then a =

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  5. Lt(x to oo) 2^(x)sin((a)/(2^(x)))=

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  6. Let f(2)=4 and f'(2)=4 then Lt(x to 2) (xf(2)-2f(x))/(x-2)=

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  7. underset(x to oo)lim ((x+1)(2x+3))/((x+2)(3x+4))=

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  8. Lim(x to oo) (px+q)/(qx+p)=l and Lim(x to 0)(px+q)/(qx+p)=m where p,q ...

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  9. Lt(x to oo) (sqrt(3+9x^(2))+sqrt(4x^(2)-1))/(sqrt(1+16x^(2))-sqrt(9x^(...

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  10. underset(x to oo)lim (sqrt(3x^(2)+5))/(5x+3)=

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  11. If [x] is the greatest integer function, then underset (x to 2^+)lim...

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  12. Lt(x to oo) (2x+7sinx)/(4x+2cosx)=

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  13. Arrnge the following limits in the ascending order (a) Lt(x to oo)((...

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  14. Evaluate the following limits : Lt(ntooo)(1^(3)+2^(3)+3^(3)+......+n...

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  15. Lt(x to oo)((1+(1)/(2)+(1)/(4)+(1)/(8)+....+(1)/(2^(n)))/(1+(1)/(3)+(1...

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  16. Lt(x to oo)((1)/(3.5)+(1)/(5.7)+.....+(1)/((2n+1)(2n+3)))=

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  17. The value of Lim(x to oo)(1.2+2.3+3.4+....+n.(n+1))/(n^(3))= is

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  18. If 0 lt p lt q then Lt(x to oo)(q^(n)+p^(n))^(1//n)=

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  19. Lt(n to oo)(6^(n)+5^(n))^(1//n)=

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  20. Lt(x to oo) (5.2^(n+1)+2.3^(n+1))/(3.2^(n)-7.3^(n))=

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