Home
Class 12
MATHS
Evaluate underset (h to 0) lim ((a+h)^(2...

Evaluate `underset (h to 0) lim ((a+h)^(2) sin (a+h) -a^(2) sin a)/h `.

A

`a^(2) cos a + a sina`

B

`a^(2) cos a + 2a sin a`

C

`2a^(2) cos a + a sin a`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise PROBLEM SET (1) (TRUE AND FALSE) |4 Videos

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise PROBLEM SET (1) (FILL IN THE BLANKS) |7 Videos

  • INVERSE CIRCULAR FUNCTIONS

    ML KHANNA|Exercise Self Assessment Test|25 Videos

  • LINEAR PROGRAMMING

    ML KHANNA|Exercise Self Assessment Test|8 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(h to 0) ((a+h)^(2) sin (a+h) -a^(2) sin a)/h .

lim_(h rarr0)((a+h)^(2)sin(a+h)-a^(2)sin a)/(h)

The value of lim_(h rarr0)((a+h)^(2)sin(a+h)-a^(2)sin a)/(h)=

Evaluate lim_(h rarr0)((a+h)^(2)sin^(-1)(a+h)-a^(2)sin^(-1)a)/(h)

lim_(h rarr0)(sin h)/(h)

Evaluate underset( hrarr0 ) ( "Lim") ( ( x + h)^(sqrt( x+h))-x ^(sqrt( x)))/(h) ( x gt0)

Let fRtoR be a function we say that f has property 1 if underset(hto0)(lim)(f(h)-f(0))/(sqrt(|h|)) exist and is finite. Property 2 if underset(h to 0)(lim)(f(h)-f(0))/(h^(2)) exist and is finite. Then which of the following options is/are correct?