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What is
lim_(x-0) (f(f(x)) closest to?
a. DNE
b. 1
c. 3
d. 5

What is lim_(x-0) (f(f(x)) closest to? a. DNE b. 1 c. 3 d. 5-example-1

1 Answer

4 votes

Answer:

c. 3

Explanation:

You want to know the limit of the composite function f(f(x)) as x approaches zero.

Limit

The function f(x) can be evaluated at x=0. The graph shows the value to be ...

f(0) = 2

The function f(x) can also be evaluated at x=2. The graph shows the value to be ...

f(2) ≈ 3

The nearest value to f(f(0)) is 3.

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Additional comment

For a continuous function, the limit at a point is simply the value at that point. F(x) is continuous in the neighborhoods of the points of interest, so we simply need to find the function value.

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