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Prove that the following sequences conve...

Prove that the following sequences converage and find their limits:
(a) `x_(1)=sqrt2, x_(2)=sqrt(2+sqrt2), x_(3)=sqrt(2+sqrt(2+sqrt2)),....., x_(n)=sqrt((2+sqrt(2+.....2))).....`
(b) `x_(n)=(2^(n))/((n+2)!)`
(c) `x_(n)=(E(ny))`
the sequence of successive decimal appromations 1:1:4,, 1.41, 1.414, of the irratioanl number `sqrt2`
(e) `x_n=(n!)/(n^(n))`.

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(b) 0
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