Practice Demo

Find the limit if it exists. If the limit cannot be specified as a constant or infinity, enter $_DNE_$.
$$\lim_{h\to {\frac{ - \pi }{10}} }{-3 |\text{sec}(5h)|}$$

Preview your answer:

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Hint 1: We can graph the function $_-3 |\text{sec}(5h)|_$ to see what happens near $_h=\frac{ - \pi }{10}_$:

Solution:

From the graph, we can see that:

$$\lim_{h\to {\frac{ - \pi }{10}} }{-3 |\text{sec}(5h)|} = -\infty$$