Math  /  Calculus

Question9. Calculate the value of the following limit: limn(sinn(π/6)+sinn(π/3)+sinn(π/2))1/n\lim _{n \rightarrow \infty}\left(\sin ^{n}(\pi / 6)+\sin ^{n}(\pi / 3)+\sin ^{n}(\pi / 2)\right)^{1 / n}
ANS:

Studdy Solution
Zatem:
limn(sinn(π/6)+sinn(π/3)+sinn(π/2))1/n=1\lim _{n \rightarrow \infty}\left(\sin ^{n}(\pi / 6)+\sin ^{n}(\pi / 3)+\sin ^{n}(\pi / 2)\right)^{1 / n} = 1
Wartość granicy wynosi:
1 \boxed{1}

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