Answer
$\approx 403.42=e^6$
Work Step by Step
We have to evaluate the limit:
$\lim\limits_{h \to 0} f(h)$, where $f(h)=(1+3h)^{2/h}$
We compute the value of the function $f$ for values of $h$ close to 0:
$f(0.01)\approx 369.35582$
$f(0.001)\approx 399.8214$
$f(0.0001)\approx 403.06594$
$f(-0.01)\approx 442.23504$
$f(-0.001)\approx 407.08338$
$f(-0.0001)\approx 403.79212$
We got $\lim\limits_{h \to 0} f(h)\approx 403.42=e^6$
