A function `f: RvecR` is defined as `f(x)=(lim)_(nvecoo)(a x^2+b x+c+e^(n x))/(1+c.e^(n x))` is continuous on `R` then find the values of a,b,c.

Let f(x)=lim_(n rarr oo)(x^(2n-1)+ax^(2)+bx)/(x^(2n)+1). If f(x) is continuous for all x in R then find the values of a and b.

Let f(x)=lim_( n to oo) (x^(2n-1) + ax^2 +bx)/(x^(2n) +1) . If f is continuous for x in R , then the value of a+8b is

The function f(x) .defined as f(x)=lim_(n rarr oo)(f(x)+x^(2n)g(x))/(1+x^(2n)) shall be continuous every where,if

The function f :R to R defined by f (x) = e ^(x) isd

Find the values of a if f(x)=(lim)_(n rarr oo)(ax^(2n)+2)/(x^(2n)+a+1) is continuous at x=1

The function f:R^(+)rarr(1,e) defined by f(x)=(x^(2)+e)/(x^(2)+1) is

The function f:R rarr R defined by f(x)=(e^(|x|)-e^(-x))/(e^(x)+e^(-x)) is

The function f(x) is defined by f(x)={x^2+a x+b\ \ \ ,\ \ \ 0lt=x 4 f is continuous them determine the value of a and b

If the function f(x) defined as f(x) defined as f(x)={3,x=0(1+(ax+bx^(3))/(x^(2)))^((1)/(x)),x>0 is continuous at x=0, then a=0 b.b=e^(3) c.a=1 d.b=(log)_(e)3