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Home > CALC > Chapter 12 > Lesson 12.2.4 > Problem 12-100

  1. Use Taylor polynomials to quickly find the limits below.

Use l'Hôpital's Rule once.

Several iterations of l'Hôpital's Rule can be used. Do you notice a pattern?

This limit is for x → 1, so write the polynomial centered at x = 1.

Next, rewrite the argument as a single complex fraction.