Find the limit of ((x^2+x^4)^(1/2))/abs(x) as x approaches 0

 Exercise

$\lim_{x\to0}\left(\frac{\sqrt{x^2+x^4}}{\left|x\right|}\right)$

 

Evaluate the limit $\lim_{x\to0}\left(\frac{\sqrt{x^2+x^4}}{\left|x\right|}\right)$ by replacing all occurrences of $x$ by $0$

$\frac{\sqrt{0^2+0^4}}{\left|0\right|}$

 

Calculate the power $0^2$

$\frac{\sqrt{0+0}}{\left|0\right|}$

 

Add the values $0$ and $0$

$\frac{\sqrt{0}}{\left|0\right|}$

 

Calculate the power $\sqrt{0}$

$\frac{0}{\left|0\right|}$

 

Zero divided by anything is equal to zero

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