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Prove the existence of limits of the following sequences and find them. (a) sqrt2, sqrt(2 sqrt(2)), sqrt(2 sqrt(2 sqrt(2)))......, (b) x_n=c^(n)//rootk(n!) (c gt 0, k gt 0, (c) x_n=alpha_n/n, where alpha_n is the nth of the number pi. |
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