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

t an g e n t f (x) = x^{3} - 9 x, (3, 0)

t an g e n t f (x) = \frac{4 x}{x + 2}, (6, 3)

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