Home
Class 12
MATHS
23. The value of lim(h->0)(1/(h(8+h)^(1/...

23. The value of `lim_(h->0)(1/(h(8+h)^(1/3)) - 1/(2h))` equals

A

`1/12`

B

`-4/3`

C

`-16/3`

D

`1/48`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Limit, Indetermine Form

    A DAS GUPTA|Exercise Exercise|64 Videos

  • Inverse Circular Functions

    A DAS GUPTA|Exercise Exercise|45 Videos

  • Main Tests

    A DAS GUPTA|Exercise Exercise|8 Videos

Similar Questions

Explore conceptually related problems

23.The value of lim_(h rarr0)((1)/(h(8+h)^((1)/(3)))-(1)/(2h)) equals

Let f(x)=2x^(1//3)+3x^(1//2)+1. The value of lim_(hrarr0)(f(1+h)-f(1-h))/(h^(2)+2h) is equal to

The value of lim_(hto0) (In (1+2h)-2ln (1+h))/(h^2) , is

f(x)=3x^(10)7x^(8)+5x^(6)-21x^(3)+3x^(2)7, then is the value of lim_(h rarr0)(f(1-h)-f(1))/(h^(3)+3h) is

Evaluate lim_(hto0) [(1)/(h^(3)sqrt(8+h))-(1)/(2h)].

the value of lim_(h to 0) (f(x+h)+f(x-h))/h is equal to

If f(x) is derivable at x=2 such that f(2)=2 and f'(2)=4 , then the value of lim_(h rarr0)(1)/(h^(2))(ln f(2+h^(2))-ln f(2-h^(2))) is equal to