If `L=("lim")_(xvecoo){x-x^2(log)_e(1+1/x)},` then the value of `8L` is_____

If ("lim")_(xvecoo){(x^2+1)/(x+1)-(a x+b)}=0, then find the value of aa n dbdot

Evaluate: ("lim")_(xvec2)(x-2)/((log)_a(x-1))

If L=lim_(x->0)(e^(-(x^2/2))-cosx)/(x^3 sinx), then the value of 1/(3L) is

If L=lim_(x->2) ((10-x)^(1/3) -2)/(x-2), then the value of |1/(4L)| is

If ("lim")_(xvec0)[1+x+(f(x))/x]^(1/x)=e^3, then find the value of 1n(("lim")_(xvec0)[1+(f(x))/x]^(1/x))i s____

If int_0^1(e^(-x)dx)/(1+e^x)=(log)_e(1+e)+k , then find the value of k.

If f(x)=sin(log)_e{(sqrt(4-x^2))/(1-x)} , then the domain of f(x) is _____ and its range is __________.

The value of ("lim")_(xvecoo)((log)_e((log)_e x)/(e^(sqrt(x)))) is___________

If f(x)=(log)_e((x^2+e)/(x^2+1)) , then the range of f(x)

If L=lim_(x to oo) (x+1-sqrt(ax^(2)+x+3)) exists finitely then The value of L is