Answer
indeterminate,
2
Work Step by Step
See the table: "Some Determinate and lndeterminate Forms"
and, after plugging in the value for x, recognize
the indeterminate form $\displaystyle \frac{0}{0}$.
From "Strategy for Evaluating Limits Algebraically"
step2,
** $f(\mathrm{a})$ is not defined and has the indeterminate fom 0/0.
Try to simplify the expression for $f$ to cancel one of the terms that gives $0$.
Divide both the numerator and denominator with $x^{2}.$
$\displaystyle \lim_{\mathrm{x}\rightarrow 0}\frac{2x^{2}\div x^{2}}{x^{2}\div x^{2}}=\lim_{\mathrm{x}\rightarrow 0}2=2$
