### Home > CALC > Chapter Ch2 > Lesson 2.2.2 > Problem 2-71

2-71.

If

, find: Homework Help ✎ *f*(*x*− 5)*f*(2*m*+ 3)*f*(*x*+*h*)For parts (a) and (b), explain the graphical significance of

and .

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).