# Working with limits.

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See attached

1) F(x) = Is this continuous at x = 3?

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## SOLUTION This solution is **FREE** courtesy of BrainMass!

Please see the attachment..

1) F(x) = Is this continuous at x = 3?

â€¢ If a function f is continuous at x = a then we must have the following three conditions.

1. f(a) is defined; in other words, a is in the domain of f.

2. The limit

must exist.

3. The two numbers in 1. and 2., f(a) and L, must be equal.

thus

When we calculate, f(3), it is not well defined... the first condition fails and the function is not continuous at x = 3

Â© BrainMass Inc. brainmass.com December 24, 2021, 4:57 pm ad1c9bdddf>https://brainmass.com/math/calculus-and-analysis/working-with-limits-17739