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

Compute the following limits : Lt_(t to1/2)(4t^(2)-1)/(8t^(3)-1)

lim_(t rarr1)(sqrt(t)-1)/(t^((1)/(3))-1)

Evaluate the limits: lim_(trarroo)(3t^2-t+2)/(2t^2+8t-1)

Area of the triangle formed by the threepoints 't_1'. 't_2' and 't_3' on y^2=4ax is K|(t_1-t_2) (t_2-t_3)(t_3-t_1)| then K=

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

Let f(t)=|{:(cos t,,t,,1),(2 sin t,,t,,2t),(sin t,,t,,t):}| .Then find lim_(t to 0) (f(t))/(t^(2))

Let f(t)=|{:(cos t,,t,,1),(2 sin t,,t,,2t),(sin t,,t,,t):}| .Then find lim_(t to 0) (f(t))/(t^(2))

lim_(t tooo)t(sqrt (t^(2)+1)-t)

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