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

  1. 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 → ∞