Estimate the Limit by Graphing the Function for an Appropriate$$\lim _ { x \rightarrow 0 } \frac { \sin x } { x + x ^ { 2 } } = \lim _ { x \rightarrow 0 } \frac { \cos x } { 1 + 2 x } = \lim _ { x \rightarrow 0 } \frac { - \sin x } { 2 } = 0 \text {. }$$

Question

Examlex · Accepted Answer

The Answer is L'Hopital's Rule cannot be applied to

\lim _ { x \rightarrow 0 } \frac { \cos x } { 1 + 2 x }

because it corresponds to

\frac { 1 } { 1 }

which is not an indeterminate form.

Estimate the Limit by Graphing the Function for an Appropriate

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