1.

Evaluate : Lim_(x to 0)lim_(0)^(x^(2))(sinsqrt(t)tansqrt(t)dt)/(x^(4))

Answer»

Solution :Applying L' hospital rule
`UNDERSET(xrarr0')("LIM")'(2xsinxtanx)/(4x^(3))rArr underset(xrarr0)("Lim")'(1)/(2)((sinx)/(X))(tanx/x) = 1/2`


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