Wednesday 11 June 2014

calculus - How to evaluate the limit $lim_{xto 0} ((1+2x)^{1/3 }-1)/ x$ without using the l'Hospital's rule?

$$\lim_{x\to 0} \frac{(1+2x)^{\frac{1}{3}}-1}{x}.$$



Please do not use the l'hospital's rule as I am trying to solve this limit without using that rule... to no avail...

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