# How do you find the slant asymptote of #y=(x^3 - 4x^2 + 2x -5)/ (x^2 + 2)#?

To find the slant asymptote, we divide

The resulting quotient not including the remainder part represents the slant asymptote

Let us divide

Observe the quotient

Kindly see the graph of

God bless....I hope the explanation is useful.

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To find the slant asymptote of ( y = \frac{x^3 - 4x^2 + 2x - 5}{x^2 + 2} ), perform polynomial long division or synthetic division to divide ( x^3 - 4x^2 + 2x - 5 ) by ( x^2 + 2 ). The quotient obtained represents the equation of the slant asymptote.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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- How do you find the vertical, horizontal or slant asymptotes for #(5e^x)/((e^x)-6)#?
- How do you identify all asymptotes or holes for #h(x)=(3x^2+2x-5)/(x-2)#?
- How do you find the inverse of #y=-log_5(-x) #?

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