If `("lim")_(xvec0)(a e^x-b)/x = 2 ,` then find the value of `aa n dbdot`

If lim_(x rarr 2) [(x^(n)-2^(n))/(x-2)]=32 , then find the value of n.

If lim_(x rarr0)(1+ax+bx^(2))^((2)/(x))=e^(3), then find the value of a and b.

If lim_(x rarr oo){(x^(2)+1)/(x+1)-(ax+b)}=0, then find the value of a and b.

If f(n)=int_(0)^(2015)(e^(x))/(1+x^(n))dx , then find the value of lim_(nto oo)f(n)

e^(2x)-(a-1)e^(x)-a>=0AA x in R then the value of a will satisfy

If lim_(x rarr0)(1+ax+bx^(2))^((2)/(x))=e^(3), the value of a and b are

If quad m,n in I_(0)and(lim)_(x rarr0)(tan2x-n sin x)/(x^(3))= some integer then find the value of n and also the value of limit.

Let f(x) be a polynomial of degree four having extreme values at x""=""1 and x""=""2 . If (lim)_(xvec0)[1+(f(x))/(x^2)]=3 , then f(2) is equal to : (1) -8 (2) -4 (3) 0 (4) 4

If lim_(x rarr oo)(1+(a)/(x)+(b)/(x^(2)))^(2x)=e^(2) then the values of a and b,are