Question 4c(i)

SCH_CALC L3CALC

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$$h(x)=\sin (e^x)$$

Since $\sin (\text{really small number})=0$

$$\underset{x\to -\infty }{\lim }h(x)=0$$

Since $\sin$ continuously oscillates as $x$ increases, so

$$\underset{x\to \infty }{\lim }h(x)=\text{Does not exist}$$