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2-71.

What does the graph look like to the right?

What does the graph look like to the left?

Since there is a vertical asymptote at x = − 5, the limit does not exist. But we can still determine if f(x) approaches +∞, −∞ or both. We are to determine if there is agreement among the limits as x → − 5 from each side.

Test a point close to x = −5 but a little bit larger:

Therefore, x → −5+, f(x) → −∞

Evaluate and simplify.

Refer to hint (d).

Refer to hint (d).

Refer to hints (a) and (b).