- #1
Dethrone
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Prove that $\lim_{{x}\to{0}}\frac{1}{x^4}=\infty$, given a $M>0$
So we need to prove that $f(x) > M$:
$\frac{1}{x^4}>M$, $\frac{1}{M}>x^4$, $\frac{1}{M^{1/4}}>|x|$
Is that right so far? Is the absolute values necessary in my last statement?
So we need to prove that $f(x) > M$:
$\frac{1}{x^4}>M$, $\frac{1}{M}>x^4$, $\frac{1}{M^{1/4}}>|x|$
Is that right so far? Is the absolute values necessary in my last statement?