Question

# The limit limx→2x2−4x−2  does not existTrue False

Solution

## The correct option is B False The limits we saw so far can be evaluated by direct substitution. If we substitute x=2 in the limit, limx→2x2−4x−2  we will get 00. This does not mean that the limit does not exist, it means the value of the function is not defined at that point. The expression x2−4x−2 is equal to x+2 except at x=2. The graph of x2−4x−2 will look like We can see that the function is not defined at x=2. But the value of  x2−4x−2 approaches 4 as x approaches 2.We can say that the limit is 4.

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