Asked Jan 23, 2019

Find the vertical, horizontal, and oblique asymptotes of any.
T(x)= x^3/ x^4 - 1


Expert Answer

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Step 1


1) Vertical asymptote: The line x=L is a vertical asymptote of f(x) if the limit of the function at this point is infinite.

2) Oblique asymptote: Oblique asymptote lie when the polynomial in the numerator is a higher degree than the polynomial in the denominator.

3) Horizontal asymptote: The line y=L is a horizonatal asymptote of f(x) if either


Step 2

Now first evaluate vertical asymptote:

The given function T(x) is infinite when denominator is zero, so


Step 3

Now evaluate Oblique asymptote:

Since the degree of the numerator is not one deg...

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