" If "[Lt],[x rarr0][1+x+(f(x))/(x)]^((1)/(x))=e^(3)," then "f(x)" is "

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_(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

lim_(x rarr0)(1+x)^((1)/(x))=e

Lt_(x rarr0)(sqrt(4+x)-(8+3x)^((1)/(3)))/(x)=

Lt_(x rarr0)(tan^(-1)x)/(x)

Lt_(x rarr0)(x-sin x)/(x^(3))

Lt(x rarr0)((|x|)/(x)+x+2)=

Let f(x) be a polynomial of least degree such that lim_(x rarr0)(1+(x^(4)+f(x^(2)))/(x^(3)))^(1/x)=e^(3), then write the value of f(3)

If f : [0, oo) rarr [0, oo) and f(x) = (x^(2))/(1+x^(4)) , then f is

If f : [0, oo) rarr [0, oo) and f(x) = (x^(2))/(1+x^(4)) , then f is