Mathematics Homework Solutions
Problem
#174463

Find the limit, if it exists. Limit (x, y -> 0) f(x) = 15 x^3 y /(2x^4 + y^4)

Find the limit, if it exists.

Limit (x, y -> 0) f(x) = 15 x^3 y /(2x^4 + y^4)

Please see the attached file.

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Solution Summary

f(x) = 15 x^3 y /(2x^4 + y^4)

Let (x, y) approach (0, 0) along the X axis. Then we put y = 0 and take the limit

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