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Examples: Construct examples of the thing(s) described in the following. Try to find examples that are different than any in the reading.

(a) The graph of a function f for which f(2) does not exist but limx→2 f(x)does exist.

(b) The graph of a function f for which f(2) exists and role="math" localid="1648535558565" limx→2 f(x)exists, but the two are not equal.

(c) The graph of a function f for which neither f(2) nor limx→2 f(x)exist.

Short Answer

Expert verified

Part (a).

Part (b).

Part (c).

Step by step solution

01

Step 1. Given information. 

We have to graph a function f for which f(2) does not exist but limx→2 f(x)does exist.

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