NettetSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Nettet5. sep. 2024 · All sequences in this set of exercises are assumed to be in R. Exercise 2.5.1. Find lim supn → ∞an and lim infn → ∞an for each sequence. an = ( − 1)n. an = sin(nπ 2). an = 1 + ( − 1)n n. a_ {n}=n \sin \left (\frac {n \pi} {2}\right). Exercise \PageIndex {2} For a sequence \left\ {a_ {n}\right\}, prove that:

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Find the limit of $(1-\\cos x)/(x\\sin x)$ as $x \\to 0$

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