[" For each "t in R," let "[t]" be the greatest integer less than "],[" or equal to "t" .Then "lim_(x rarr0^(+))x([(1)/(x)]+[(2)/(x)]+.....+[(15)/(x)])]

For each t in R let [t] be the greatest integer less than or equal to t then lim_(x rarr0^(+))x([(1)/(t)]+[(2)/(t)]+...+[(15)/(t)])(1) is equal to 0(2) is equal to 15(3) is equal to 120 (4) does not exist (in R)

lim_(x rarr0^(+))(x)^(In x)

lim_(x rarr0)[(x)/([x])]=

lim_(x rarr0)(cotx)^(x)

lim_(x rarr0)[sin x]

lim_(x rarr0)(|x|)/(x)

lim_(x rarr0)sqrt(x)=

lim_(x rarr0)[cos x]is

lim_(t rarr0)[cot^(-1)(t^2/2)]

lim_(x rarr 0) (|x|)/x is :