What is the limit as (x,x^5) approaches (0,0) of (x^5y)/(x^{10)+y^5} ?

The limit as (x,x^5) approaches (0,0) of (x^5y)/(x^{10)+y^5} is 0

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limit as (x,x^5) approaches (0,0) of (x^5y)/(x^{10)+y^5}

(x, x^{5}) \to (0, 0) lim (\frac{x ^{5} y}{x ^{10} + y ^{5}})

0

Solution steps

(x, x^{5}) \to (0, 0) lim (\frac{x ^{5} y}{x ^{10} + y ^{5}})

Plug in the value

(x, x^{5}) = (0, 0)

= \frac{0 ^{5} y}{0 ^{10} + y ^{5}}

Simplify

= 0

x \to 2 - lim (\frac{6 x}{x - 2})

\int (k e^{- k x}) d x

y^{^{'}} + 3 (tan (3 x)) y = cos (3 x)

\int (2 x - 3) e^{x^{2} - 3 x} d x

\frac{\partial}{\partial x} (x^{5} y)

What is the limit as (x,x^5) approaches (0,0) of (x^5y)/(x^{10)+y^5} ?
The limit as (x,x^5) approaches (0,0) of (x^5y)/(x^{10)+y^5} is 0