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 lim_(x rarr0)[1+x+(f(x))/(x)]^((1)/(x))=e^(3), then find the value of 1n(lim_(x rarr0)[1+(f(x))/(x)]^((1)/(x)))is=-

If lim_(xto0) [1+x+(f(x))/(x)]^(1//x)=e^(3) , then the value of ln(lim_(xto0) [1+(f(x))/(x)]^(1//x)) is _________.

If lim_(x rarr0)[1+x+(f(x))/(x)]^((1)/(x))=e^(3), then the value of ln(lim_(x rarr0)[1+(f(x))/(x)]^((1)/(x))) is

If lim_(xrarr0) [1+x+(f(x))/(x)]^(1//x)=e^(3)", then "lim_(xrarr0) [1+(f(x))/(x)]^(1//x)=

(lim)_(x->0)[((1+x)^(1//x))/e]^(1//x)\ \

The value of lim_(xrarr0) ((1+x)^(1//x)-e)/(x) is

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

Column I ([.] denotes the greatest integer function), Column II ""("lim")_(xvec0)([100(sinx)/x]+[100(tanx)/x]) , p. 198 ("lim")_(xvec0)([100 x/(sinx)]+[100(tanx)/x]) , q. 199 ("lim")_(xvec0)([100(sin^(-1)x)/x]+[100(tan^(-1)x)/x]) , r. 200 ("lim")_(xvec0)([100 x/(sin^(-1)x)]+[100(tan^(-1)x)/x]) , s. 201

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

Evaluate the following: (lim)_(xvec1)[1/(1+x)-3/(1+x^3)]