Question: At the beginning of this section we considered the function f (x, y) = sin(x 2 + y 2 )/x 2 + y 2 and

At the beginning of this section we considered the function

f (x, y) = sin(x2 + y2)/x2 + y2
and guessed on the basis of numerical evidence that f (x, y) → 1 as (x, y) → (0, 0). Use polar coordinates to confirm the value of the limit. Then graph the function.

Step by Step Solution

3.46 Rating (172 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

sinx y 29 00 x y lim sin2 H lim r0 p2 ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!