If `a,b and c` are real numbers then the value of `lim_(t->0)ln(1/tint_0^t(1+asinb x)^(c / x)dx)` equals

If a, b and c are real numbers, then the value of lim_(trarr0) ln((1)/(t)int_(0)^(t)(1+asinbx)^(c//x)dx) equals

If a, b and c are real numbers, then the value of lim_(trarr0) ((1)/(t)int_(0)^(t)(1+asinbx)^(c//x)dx) equals

If a, b and c are real numbers, then the value of underset(trarr0)(lim)((1)/(t)int_(0)^(t)(1+asinbx)^(c//x)dx) equals

The value of lim_(xto0)(1)/(x) int_(0)^(x)(1+ sin 2t)^(1/t) dt equals :

The value of lim_(xto0)(1)/(x) int_(0)^(x)(1+ sin 2t)^(1/t) dt equals :

The value of lim_(a rarr oo)(1)/(a^(2))int_(0)^(a)ln(1+e^(x))dx equals

The value of lim_(a rarr oo)(1)/(a^(2))int_(0)^(a)ln(1+e^(x))dx equals

Suppose that a and b(b!=a) are real positive numbers, the value of lim_(t to0)((b^(t+1)-a^(t+1))/(b-a))^(1//t) has the is equal to

The value of lim_(xrarr0) (log_e(1+x)-x)/(x{(1+x)^(1//x)-e}) equal to

The value of lim_(xrarr0) (log_e(1+x)-x)/(x{(1+x)^(1//x)-e}) equal to