` p(t)={(t+2, tlt -2),(t^3, -2le "t" le 2),(t+4, t gt 2):}`
Evaluate `lim_(t rarr 2^-)p(t)`

lim_(t rarr4^(+))(t-[t])

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

Evaluate lim_(x->t) (x^(2)-t^(2))/(x^(4)-t^(4)

lim_(t rarr(1)/(2))(4t^(2)-1)/(8t^(3)-1)

Let g (x) int_(0)^(x) f(t) dy=t , where f is such that (1)/(2) le f (t) le 1 for tin [0,1] and 0 le f (t) le (1)/(2) for t in [1 ,2] . then . g (2) satis fies the inequality

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_(t rarr oo)(e^(t^(2))-1)/(e^(t^(2))+1)

The value of lim_(t rarr0)(ln(cos(sin t)))/(t^(2)) is