Estimate the Limit by Graphing the Function for an Appropriate

question 2

Essay

Estimate the limit by graphing the function for an appropriate domain. Confirm your estimate by using L'Hopital's rule.
Show each step of your calculation.
-Find the error in the following incorrect application of L'Hôpital's Rule.
$$\lim _ { x \rightarrow 0 } \frac { \sin x } { x + x ^ { 2 } } = \lim _ { x \rightarrow 0 } \frac { \cos x } { 1 + 2 x } = \lim _ { x \rightarrow 0 } \frac { - \sin x } { 2 } = 0 \text {. }$$

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