AP Calculus AB 1.13 Removing Discontinuities Question Bank

Practise AP Calculus AB 1.13 questions by solving for a parameter or function value that fills a removable discontinuity.

Exam points

set a parameter or missing function value equal to the limiting value to remove a hole
check one-sided limits and the defined point when making a function continuous

[Maximum number: 1]

A function f(x) equals rt fraction numerator x squared end exponent minus x over denominator x minus 1 end fraction for all x except x=1. For the function to be continuous at x=1, the value of f(1) must be

$\infty$ egral from 0 to 1 of start fraction numerator

to the power of x end exponent over

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LIM-2.C—Determine values of x or solve for parameters that make discontinuous functions continuous, if possible question 1