Use the limit comparison test to determine whether the series, =, is convergent or divergent. [5...

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Use the limit comparison test to determine whether the series, Σ=√², is convergent or divergent. [5 marks] Find the Maclaurin series for e*. Find the first four terms of Taylor series for cos x at x = 3. Use the limit comparison test to determine whether the series, Σ=√², is convergent or divergent. [5 marks] Find the Maclaurin series for e*. Find the first four terms of Taylor series for cos x at x = 3.