2.5 Evaluating Limits Algebraically Fri Sept 11

Rewriting Limits Because limits only depend on values that lead up to x, we can rewrite functions and not affect the limit

Indeterminate forms A function f(x) has an indeterminate form at x = c if f(c) yields one of the following:

Finding a Limit by Factoring One method to evaluate limits is to eliminate factors in the denominator. Ex:

EX 2 Evaluate

Ex 2b We can also factor trigonometric limits

Ex 3 We can rewrite by multiplying by the conjugate

Ex 4 Evaluate

Combining Fractions We can add two fractions with undefined values to help cancel

Infinite but not indeterminate Evaluate

You try Evaluate each limit 1) 2) 3)

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