Practice Demo

Find the limit if it exists. If the limit cannot be specified as a constant or infinity, enter $_DNE_$.
$$\lim_{x\to 4 }{4\log_{2}(|-4+x|)}$$

Preview your answer:

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Hint 1: We can graph the function $_4\log_{2}(|-4+x|)_$ to see what happens near $_x=4_$:

Solution:

From the graph, we can see that:

$$\lim_{x\to 4 }{4\log_{2}(|-4+x|)} = -\infty$$