If `lim_(x->0)((x-1+cosx)/x)^(1/ x)=theta^p` then find the value of `|[p]|.`

lim_(xrarr0)((x-1+cosx)/(x))^(1//x)

lim_(x->0)(1/x)^(1-cosx)

If lim_(x->0)[1+x+(f(x))/x]^(1/x)=e^3, then find the value of 1n(lim_(x->0)[1+(f(x))/x]^(1/x))i s____

If lim_(x->1)((x^n-1)/(n(x-1)))^(1/(x-1))=e^p , then p is equal to

lim_(x to 0) (1-cosx)/x^2 = ?

Evaluate: lim_(xto0)((x-1+cosx)/(x))^(1//x)

Evaluate : lim_(x->0) (1-cosx)/x

Let p(x) be a polynomial of degree 4 having extremum at x = 1,2 and lim_(x->0)(1+(p(x))/x^2)=2. Then find the value of p(2).

Let p(x) be a polynomial of degree 4 having extremum at x = 1,2 and lim_(x->0)(1+(p(x))/x^2)=2. Then find the value of p(2).

Let p(x) be a polynomial of degree 4 having extremum at x = 1,2 and lim_(x->0)(1+(p(x))/x^2)=2. Then find the value of p(2).