  # what can be stated about the graph of f(x) given lim     f(x)=2/3x→−∞ a. f(x) has a horizontal aymptote aat y=2/3b.f(x) has no horizontal asymptotesc.f(x) has no vertical asymptotesd.f(x) is discontinuos when x=2/3

Question

what can be stated about the graph of f(x) given

lim     f(x)=2/3

x−∞

a. f(x) has a horizontal aymptote aat y=2/3

b.f(x) has no horizontal asymptotes

c.f(x) has no vertical asymptotes

d.f(x) is discontinuos when x=2/3

check_circleExpert Solution
Step 1

The horizontal line y = b is called a horizontal asymptote of the graph of y = f(x) if either

Step 2

The given expression states that the value of f(x) goes to 2/3 as x tends to negative infinity.

As per the definition of horizontal asymptote, it implies that the graph of the fu...

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Tagged in

### Calculus 