Question

Find the limit, if it exists. (If an answer does not exist, enter DNE.) $$ \lim_{(x,y) \to (0,0)} \frac{xy^2 \cos(y)}{3x^2 + y^4} $$ SUBMIT ANSWER

Name: find the limit if it exists if an answer does not exist enter dne limxy to 00 fracxy2 cosy3x2 y4 submit answer 41045
Uploaded: 2018-01-24T16:41:59-08:00
Duration: 1 min 13 s
Channel: Alan Ghazarians
Description: find the limit if it exists if an answer does not exist enter dne limxy to 00 fracxy2 cosy3x2 y4 submit answer 41045

          Find the limit, if it exists. (If an answer does not exist, enter DNE.)
$$ \lim_{(x,y) \to (0,0)} \frac{xy^2 \cos(y)}{3x^2 + y^4} $$
SUBMIT ANSWER

$find the limit if it exists if an answer does not exist enter dne limxy to 00 fracxy2 cosy3x2 y4 submit answer 41045$

Added by Alejandra G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Alan Ghazarians

01/24/2018

Step 1

The given limit is $$ \lim_{(x,y) \to (0,0)} \frac{xy^2 \cos(y)}{3x^2 + y^4} $$. This is a limit of a rational function as (x,y) approaches (0,0). If we substitute (0,0) directly, we get 0/0, which is an indeterminate form. This means we need to investigate Show more…

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