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# Calculating Limit of Function – A quotient of functions with sin, cos and tan – Exercise 314

### Exercise

Evaluate the following limit:

$$\lim _ { x \rightarrow 0 } \frac {5 x + \sin ( 3 x )} {\tan ( 4 x ) - 7 x \cos ( 2 x )}$$

$$\lim _ { x \rightarrow 0 } \frac {5 x + \sin ( 3 x )} {\tan ( 4 x ) - 7 x \cos ( 2 x )} = -\frac {8}{3}$$