Home
Class 12
MATHS
Evaluate lim((x,y) to (0,0)) cos((e^(x) ...

Evaluate `lim_((x,y) to (0,0)) cos((e^(x) sin y)/y)`, if the limit exists.

Text Solution

Verified by Experts

The correct Answer is:
`=cos (1)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise EXERCISE 8.4|18 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise EXERCISE 8.5|5 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise EXERCISE 8.2|17 Videos

  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Problem for practice|45 Videos

  • DISCRETE MATHEMATICS

    PREMIERS PUBLISHERS|Exercise Problems For Practice|30 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_((x,y) to (0,0)) cos((x^(3) + y^(3))/(x+y+2)) . If the limit exists.

Evaluate lim_((x,y) to (1,2)) , g(x,y) , if the limit exist where g(x,y) =(3x^(2) - xy)/(x^(2) + y^(2)+ 3)

Evaluate the limits lim_(x to 0) (1-cos^2x)/(x sin 2x)

Evaluate the limits lim_(x to 0) (e^x-e^(-x))/(sinx)

Evaluate the limits lim_(x to 0) (e^(ax)-e^(bx))/x

Evaluate the limits lim_(x to 0) (tan 2x)/( sin 5x)

Evaluate the limits lim_(x to 0) (tan2x)/x