What is the limit as x approaches 0 of (x^4)/(1+x^5) ?

The limit as x approaches 0 of (x^4)/(1+x^5) is 0

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limit as x approaches 0 of (x^4)/(1+x^5)

x \to 0 lim (\frac{x ^{4}}{1 + x ^{5}})

0

Solution steps

x \to 0 lim (\frac{x ^{4}}{1 + x ^{5}})

Plug in the value

x = 0

= \frac{0 ^{4}}{1 + 0 ^{5}}

Simplify

\frac{0 ^{4}}{1 + 0 ^{5}} : 0

= 0

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

x \to - 2 lim (\frac{x - 3}{( x + 2 )})

x \to - 2 + 1 lim (\frac{1}{x - 2})

s \to - 3 lim (\frac{2 + s}{s})

x \to - 2 lim (- 3 x^{3} + 5 x^{2} - x - 1)

What is the limit as x approaches 0 of (x^4)/(1+x^5) ?
The limit as x approaches 0 of (x^4)/(1+x^5) is 0