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

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\frac{( 12 s + 5 )}{s ( s + 3 )}

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