Calculus II and Multivariable Calculus quizzes
How infinite sums can have finite values, and how integrals and functions of several variables describe change.
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From Calculus II and Multivariable Calculus: Infinite Sums With Finite Answers
Partial fractions write 1/(x² − 1) as A/(x − 1) + B/(x + 1). What is A?
- 1/2
- 1
- −1/2
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Answer: 1/2
Clearing denominators gives 1 = A(x + 1) + B(x − 1); setting x = 1 gives 1 = 2A, so A = 1/2 and B = −1/2.
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