underset n rarr oo Lt5^(x)sin((a)/(5^(x)))=

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lim_ (x rarr oo) 5 ^ (x) sin ((a) / (5 ^ (x))) =

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underset x rarr oo lim x^(5)[(1)/(x^(3))] is equal to; where [.] denotes

Lt_(x rarr oo) 2^(x) sin ((p)/(2^(x))) ,p in R equal to

underset(x rarr oo)(lim) (x^(2))/(e^(x)) is

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(a)Evaluate underset (x rarr 0)Lt(sin x^0)/x

Evaluate underset(x rarr 0)Lt (tan x-sin x)/(x^3)

Find underset( n rarr oo )("lim") ( ( 2 n^(3))/( 2n^(2) + 3)- ( 1+ 5n^(2) )/( 5n + 1))

(ii)Find underset (x rarr a)Lt(cos x-sin a)/(sqrt x-sqrt a) .