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Home > CALC > Chapter 2 > Lesson 2.3.1 > Problem 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.)

  1. Compare the highest power in the numerator and the denominator small exponent on top large exponent on the bottom.

  1. As , 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