9 Limits of Functions at Infinity (Problems)

Find discontinuities.

Asymptotes

What is the limit of a constant divided by infinity?

Zero

What is the limit of a constant divided by infinity?

Zero

What is the limit?

What is the limit?

What is the limit?

What is the limit?

What is the limit?

For polynomials, the limit will follow the behavior of the largest power.

What is the limit?

Divide every term by the largest power of x in the denominator.

What is the limit?

Divide every term by the largest power of x in the denominator.

What is the limit?

Divide every term by the largest power of x in the denominator.

What is the limit?

Separate the cube root from the limit, take the limit by dividing every term by the largest power of x in the denominator, then take the cube root.

What is the limit?

Divide every term by x — divide by the square root of x for radicals; and divide by the absolute value of x for rational functions involving radicals. Analyze piecewise for absolute value functions.

What is the limit?

Divide every term by x — divide by the square root of x for radicals; and divide by the absolute value of x for rational functions involving radicals. Analyze piecewise for absolute value functions.

What is the limit?

Rationalize by the conjugate. Solving limits w radicals. Divide by the largest power in the radical. Divide by the largest power in the denominator.

What is the limit?

Rationalize by the conjugate. Solving limits w radicals. Divide by the largest power in the radical. Divide by the largest power in the denominator.

What is the limit?

What is the limit?