For the following exercises, use numerical evidence to determine whether the limit exists at x = a. If not, describe the behavior of the graph of the function at x = a.

Expert Solution

Consider the following function:

f(x) = -2/x - 4

Where a = 4,

Therefore,

limx→4-f(x) = limx→4-(-2/x – 4)

= -2/4- - 4

= -∞

Therefore,

limx→4-f(x) = limx→4-(-2/x – 4)

= -2/4+ - 4

= -∞

Therefore,

limx→4-f(x) ≠ limx→4+f(x),

Hence, the limit limx→4f(x) does not exist.

There is infinite discontinuity at x = 4.

Junaid answered 1 year ago

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Question

For the following exercises, use numerical evidence to determine whether the limit exists at x = a. If not, describe the behavior of the graph of the function at x = a.

Solutions

Expert Solution

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