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

12-100.

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.