Question: 1. Consider the function f : R R given by: f(x) = x^2 , if x does not equal 2 0, if x = 2

1. Consider the function f : R R given by:

f(x) = x^2 , if x does not equal 2

0, if x = 2

(a) Show, using the definition of a limit that limx2 = 4.

(b) Is the function f continuous at x = 2? Why or why not? Explain in detail.

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