A function f(x) is continuous at x = c if the following are true:

1) f(c) exists
2) the limit lim f(x) exists (it is the same from the left and the right)
x  c
3) the limit is equal to the value of f(c)

True or false:

a)lim x--->2- f(x) = 3

FALSE. The limit of f(x) as x approaches 2 from the left is equal to 0.

b)limx--->2+ f(x) =0 ...

Solution Summary

The following posting helps with problems involving limits. The solution consists of the definition of continuity of a function and answers to each part of the question. Step by step calculations are given for each problem.

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