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Daily Calculus — Topic Room

Series

Convergence & Taylor

Today

Sunday, August 23, 2026

Problems
Σ · SeriesNo. 1

Write the first three nonzero terms of the Maclaurin series of e^(6x).

Σ · SeriesNo. 2

Write the first three nonzero terms of the Maclaurin series of e^(4x).

Σ · SeriesNo. 3

Does Σ (n=1→∞) 1/n^5 converge?

Σ · SeriesNo. 4

Find the sum of the geometric series Σ (n=0→∞) 4·(1/9)ⁿ

Σ · SeriesNo. 5

Does Σ (n=1→∞) 1/n^2 converge?

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