Find the limits, or state that the limit does not exist (you must justify answer):
a) \lim_(x->\infty )(\sqrt(x^(2)+2x)-\sqrt(x^(2)-x))
b) \lim_(x->\infty )(lnx-ln(sin x))
c) \lim_(x->\infty )x^((1)/((lnx)))
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