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underset(x to oo)"Lt" ((x+6)/(x+1))^(x+4...

`underset(x to oo)"Lt" ((x+6)/(x+1))^(x+4)=`

A

`e^(4)`

B

`e^(6)`

C

`e^(5)`

D

e

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-LIMITS-PRACTICE EXERCISE
  1. Lt(x to 0)log(2x)x=

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  2. Lt(x to 0)(log(sinx)sin2x)=

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  3. underset(x to oo)"Lt" ((x+6)/(x+1))^(x+4)=

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  4. Lt(x to 0)(64)/(x^(4))(1-"cos"(x)/(2)-"cos"(x)/(4)+"cos"(x)/(2)."cos"(...

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  5. Lt(x to (1)/(2)) (sin^(-1)x-(pi)/(6))/(2x-1)=

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  6. If f(x)=x^(2), phi(a)=b^(2),f^(1)(a)=n phi^(1) and phi^(1)(a)=ne0, the...

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  7. Let alpha and beta be the distinct roots of ax^(2)+bx+c=0," then "unde...

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  8. Lt(x to 0)((1-cos2x)(3+cosx))/(x.tan4x)=

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  9. If Deltax= |{:(e^(x),-1),(sinx-1,1):}| then Lt(x to 0)(Delta(x))/(x)=

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  10. Lt(x to oo)(x^(n))/(e^(x))=0 for

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  11. Lt(x to 0)(sin2x+a sinx)/(x^(3)) is finite then a=

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  12. If underset(x to 0)"Lt" (x(1+a cos x)-b sin x)/(x^(3))=1" then "(a,b)...

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  13. The integer 'n' is for which Lt(x to 0)((cosx-1)(cosx-e^(x)))/(x^(n)) ...

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  14. If 0 lt r lt 1" then "underset(n to oo)"Lt" (a+ar+...+ar^(n-1))=

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  15. underset(n to oo)lim (1+a+a^(2)+.....+a^(n-1))/(1+b+b^(2)+...+b^(n-1))...

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  16. The values of constants a so that underset(x to oo)lim ((x^(2)+1)/(x...

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  17. underset(x to 0)"Lt" {1/x-(log(1+x))/(x^(2))}=

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  18. Lim(x to 0) [(1)/(h""^(3)sqrt((8+h)))-(1)/(2h)]=

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  19. If Lt(x to 0) [1+x log(1+b^(2))]^(1//x)=2b sin^(2)theta, b gt 0 and th...

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  20. Lt(x to a) (2-(x)/(a))^("tan"(pix)/(2a))=

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