What is the limit as x approaches 0 of x/(x^2+y^2) ?

The limit as x approaches 0 of x/(x^2+y^2) is 0

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limit as x approaches 0 of x/(x^2+y^2)

x \to 0 lim (\frac{x}{x ^{2} + y ^{2}})

0

Solution steps

x \to 0 lim (\frac{x}{x ^{2} + y ^{2}})

Plug in the value

x = 0

= \frac{0}{0 ^{2} + y ^{2}}

Simplify

= 0

\int \frac{1}{x ^{2} + 8} d x

\int \frac{1}{x 9 x ^{2} + 1} d x

\int (x^{8}) d x

x \to 3 lim (3 9 x - 3)

4 x^{2} - 5 x - 50

What is the limit as x approaches 0 of x/(x^2+y^2) ?
The limit as x approaches 0 of x/(x^2+y^2) is 0