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Lt(x to 0) (tan^(4)x-sin^(4)x)/(x^(6))=...

`Lt_(x to 0) (tan^(4)x-sin^(4)x)/(x^(6))=`

A

1

B

3

C

2

D

4

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-LIMITS-PRACTICE EXERCISE
  1. Let f(a)=g(a)=k and the their nth derivatives f^(n)(a),g^(n)(a) exixst...

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  2. Lim(x to 0)(x)/(""^(3)sqrt(x^(2)+3x+8)-""^(3) sqrt(x^(2)-5x+8))=

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  3. Lt(x to 0) (tan^(4)x-sin^(4)x)/(x^(6))=

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  4. The arrangement of the following limit values in the ascending order C...

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  5. Lt(x to 0) {"cosec"^(3)x. cotx-2cot^(3)x."cosec"x+(cot^(4))/(secx)}=

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  6. If 'alpha' is a repeated root of ax^(2)+bx+c=0 then Lt(x to alpha)(tan...

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  7. Lt(x to 0) (1)/(x) sin^(-1)((2x)/(1+x^(2)))=

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  8. Lt(x to 0)(1-cos(x^(0)))/(x^(2))=

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  9. The correct match is

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  10. Lt(x to 0) (sin(x^(0)))/(tanx^(0))=

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

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

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

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

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

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

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

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

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

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