For , a function satisfies . Determine and provide a brief…

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

For

0<|x|<0.1

, a function

g

satisfies

x^{2}+x^{4}\le g(x)\le x^{2}+2x^{4}

. Determine

\displaystyle\lim_{x\to0}\frac{g(x)}{x^{2}}

and provide a brief justification.