If `f(n)=("lim")_(xvec0)"{"(1+s in x/2)(1+s in x/(x^2))(1+s in x/(x^n))"]"^(1//x)` then find `("lim")_(nvecoo)f(n)dot`

Similar Questions

Explore conceptually related problems

f(n)=lim_(x->0){(1+sin(x/2))(1+sin(x/2^2)).......(1+sin(x/2^n))}^(1/x) then find lim_(n->oo)f(n)

Evaluate: ("lim")_(xvec0)(1-cosm x)/(1-cosn x)

("lim")_(xvec0)((1+5x^2)/(1+3x^2))^1//x^2=____

Find ("lim")_(xvec0){tan(pi/4+x)}^(1//x)

Evaluate: ("lim")_(xvec0)(1+x)^(os e cx c)

Evaluate: ("lim")_(xvec0)1/xsin^(-1)((2x)/(1+x^2))

Evaluate: ("lim")_(xvec0)(1-cos2x)/(x^2)

Evaluate: ("lim")_(xvec0)(sin^(-1)x-tan^(-1)x)/(x^3)

If ("lim")_(xveca)[f(x)+g(x)]=2a n d ("lim")_(xveca)[f(x)-g(x)]=1, then find the value of ("lim")_(xveca)f(x)g(x)dot

Discuss the continuity of f(x)=("lim")_(nvecoo)cos^(2n)xdot