### Home > CALC > Chapter Ch2 > Lesson 2.3.1 > Problem 2-110

2-110.

Lena loves limits! She wants to find a shortcut for limits so she can predict a function's value without graphing. Use the following limits to look for a shortcut and explain to Lena how she can find

without graphing. (Be careful! The expressions below are all slightly different.) Homework Help ✎

Compare the highest power in the numerator and the denominator small exponent (*x*²) on top large exponent (*x*³) on the bottom.

0

As *x*→∞, only the highest power of the numerator and denominator is powerful enough to affect the end behavior of a function.

1

Limit Does Not Exist but *y* → ∞