Working with limits.
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1) F(x) = Is this continuous at x = 3?
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Please see the attachment..
1) F(x) = Is this continuous at x = 3?
• 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
© BrainMass Inc. brainmass.com December 24, 2021, 4:57 pm ad1c9bdddf>https://brainmass.com/math/calculus-and-analysis/working-with-limits-17739