Question

What is the horizontal asymptote of f(x) = (0.2)*?

Answer 1

The horizontal asymptote of the exponential function f(x) = 0.2ⁿ is represented by the horizontal line y = 0 , to which the curve tends for n → + ∞.

How to find the horizontal asymptote of an exponential function

Exponential functions of the form f(x) =aⁿ have an asymptote, a horizontal one. For 0 < a < 1,The horizontal asymptote exists for n → + ∞ and tends to be 0, and the no asymptote exists for n → - ∞. Now we proceed to present a graph in the figure attached below.

Hence, the horizontal asymptote of the exponential function f(x) = 0.2ⁿ is represented by the horizontal line y = 0 , to which the curve tends for n → + ∞.

To learn more on exponential functions: brainly.com/question/11487261

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