1.求下列极限:-|||-(1) lim _(xarrow 0)dfrac ({e)^xcos x+5}(1+{x)^2+ln (1-x)} =-|||-(3) lim _(xarrow {0)^-}(sqrt (dfrac {1)(x)+sqrt (dfrac {1)(x)+sqrt (dfrac {1)(x)}}}-sqrt (dfrac {1)(x)-sqrt (dfrac {1)(x)+sqrt (dfrac {1)(x)}})}-|||-√(1/x)-√(1/(x-√(x+√x)/-|||-(4) lim _(xarrow +infty )dfrac (sqrt {x+sqrt {x+sqrt {x)}}}(sqrt {x+1)}-|||-(2) lim _(xarrow +infty )(sqrt (x+sqrt {x+sqrt {x)}}-sqrt (x)) ;-|||-;(5) lim _(xarrow 0)((1+sin x))^cot x

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