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 (x²) on top large exponent (x³) on the bottom.
As x→∞, only the highest power of the numerator and denominator is powerful enough to affect the end behavior of a function.
Limit Does Not Exist but y → ∞