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 → + ∞.
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