`lim_(y rarr x)(ycosx-xcosy)/(y-x)`

lim_(y rarr x)((y^(y)-x^(x))/(y-x))=

lim_(x rarr y) (tanx-tany)/(x-y)=

lim_(x rarr0)(|x|)/(x)

Lim_(y rarr0)(a^(y)-a^(-y))/(y)

the value of lim_(x rarr y)(x^(y)-y^(x))/(x^(x)-y^(y)) is:

Let f(x)=cos((x)/(2))*cos((x)/(4))*...*cos((x)/(2^(n))). If lim_(n rarr oo)f(x)=g(x) and lim_(x rarr0)g(x)=k then value of lim_(y rarr k)[(1-y^(2011))/(1-y)]

lim_(x rarr0)[lim_(x rarr oo)(exp(x ln(1+(ay)/(x)))-exp(x In(1+(by)/(x))))/(y)]

lim_ (x rarr y) (cos ^ (2) x-cos ^ (2) y) / (x ^ (2) -y ^ (2))

lim_(x rarr0)(x sqrt(y^(2)-(y-x)^(2)))/({sqrt(8xy-4x^(2))+sqrt(8xy)}^(3))=

lim_(x rarr 0) (|x|)/x is :