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k=1 2−k.

## Calculus 2 Math Khan Academy

Sol. Recall that ∑n k=1 ark = ar(1 − rn)/(1 − r) if r = 1. Therefore. ∞.

∑ k =1. 2.

−k quence is the BMCT (bounded, monotonic, convergence theorem). In the previous section we introduced the concept of a sequence and talked about limits of sequences and the idea of convergence and divergence for a sequence.

If there exists a number mmm such that m≤anm≤anm \le {a_n} for every nnn we say the sequence is bounded below.

Video: Bmct calculus 2 Calculus 2 Final Exam Review Part 2 - Convergence, Divergence, Taylor and Maclaurin Series

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### MATH Calculus II

Bounded Monotone Convergence Theorem (BMCT). MATH -- Calculus II with Applications 01/15, Wed, [LOGIC-SETS], Review of Essential Calc I 03/24, Mon, ·Sequences: Limits, BMCT.

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If the integral test is divergent, then the series is divergent as well. Sign in.