In some cases, numerical investigations can be misleading. Plot f (x) = cos /x. (b) Show, by

In some cases, numerical investigations can be misleading. Plot f (x) = cos π/x.

(b) Show, by evaluating f (x) at x = ±1/2 ,±1/4 ,±1/6 , . . . , that you might be able to trick your friends into believing that the limit exists and is equal to L = 1.
(c) Which sequence of evaluations might trick them into believing that the limit is L = ˆ’ 1.

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