The asymptotes of the graph of a function

Definition: an Asymptote of a curve is straight, which indefinitely approaches the curve when removing ii nesconset.

Vertical asymptotes

is a vertical asymptote at

Vertical asymptote can be in point if the point limit open intervals scope of this function and point function tends to infinity.

Examples of vertical asymptotes

Scope:

When

When

— vertical asymptote

Scope:

When

— vertical asymptote

Scope:

When

When

— vertical asymptote

Inclined and horizontal asymptotes

1. If is a rational function where the degree of the numerator one more than degree of denominator, then allocated the integer part and use the definition of asymptote.
2. In the General case, the equation of the oblique and horizontal asymptotes can be obtained using formulas