If: `("lim")_(xrarr1)(1+a x+b x^2)^(c/((x-1)))=e^3,` then the value of`b c` is___

Evaluate lim_(xrarr1)(x^10 -1)/(x^5 -1)

Let cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x)b epidot If x satisfies the equation a x^3+b x^2+c x-c_1=0, then the value of (b-a-c) is_________

Calculate lim_(xrarr1)(3x^2 +4x -1)(2x+1)

What is lim_(xrarr0)[e^(x^2]-1]/(x^2)

If lim_(xrarr0) (e^(ax)-e^(x)-x)/(x^(2))=b (finite), then

If f(x)=lim_(nrarroo) (cos(x)/(sqrtn))^(n) , then the value of lim_(xrarr0) (f(x)-1)/(x) is

Evaluate : lim_(xrarr1)(x^(15)-1)/(x^(10)-1)

Calculate lim_(xrarr0)1/(x +x^3)

lim_(xrarr0)(4^x -1)/[sqrt(x+1) -1 ] is :

underset(xrarr1)lim((2)/(x^(2)-1)-(x)/(x-1))