Limits Roberta Náder

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LIMITS Roberta Nader A01194566

LIMITS

the value that a function or sequence "approaches" as the input or index approaches some value

LIMITS AT INFINITY

Vertical asymptote is any value that makes the denomintaor Limf(x) x= negative or positive infinite be zero.

NUMERICALLY

Find limits numerically by analyzing a table of values.

CONTINUITY

Jump discontinuities occur where the graph has a break in it as this graph does. The function is continuous at this point since the function and limit have the same value. The function is not continuous at this point.

INFINITE

are those that have a value of ±∞, where the function grows without bound as it approaches some value a. For f(x), as x approaches a, the infinite limit is shown as . If a function has an infinite limit at , it has a vertical asymptote there.

ALGEBRAICALLY

Find the limit algebraically by plugging in the x value, factoring, rationalizing the numerator, and finding the lowest common denominator.