lim_(m rarr1)(a^(n-1)-1)/(sin pi n)

lim_(x rarr1)({x})^((1)/(n pi x)) ,where {.} denotes the fractional part function

The value of lim_(x rarr1)(log x)/(sin pi x) is

m,n,in1^(+), then lim_(x rarr0)(sin x^(n))/((sin x)^(m)) equals

lim_(x rarr1)(nx^(n+1)-(n+1)x^(n)+1)/((e^(x)-e)sin pi x), where n=100, is equal to :(5050)/(pi e) (b) (100)/(pi e)(c)-(5050)/(pi e) (d) -(4950)/(pi e)

Evaluate: (lim)_(n rarr)(-1)^(n-1)sin(pi sqrt(n^(2)+0.5n+1)), wheren in N

lim_ (x rarr1) (1-x ^ (2)) / (sin pi x)

lim_(x rarr0)(sin x^(n))/((sin x)^(m)),(m

The value of 'n' for which lim_(x rarr1)(e^(x-1)-x)/((x-1)^(n)) exists is/ are

The value of lim_(x rarr1)(x^(n)+x^(n-1)+x^(n-2)+...x^(2)+x-n)/(x-1)