Let `f(x)=(sin^-1(1-{x})*cos^-1(1-{x}))/(sqrt(2{x})(1-{x})),` then find `lim_(x->0^+) f(x) and lim_(x->0^-) f(x).`

If f(x)=-sqrt(25-x^(2)) then find lim_(x rarr1)(f(x)-f(1))/(x-1)

f(x)={(2x+3,xle0),(3(x+1),x>0):} find lim_(xrarr0)f(x) and lim_(xrarr1)f(x) .

If (x^2+x−2)/(x+3) -1) f(x) then find the value of lim_(x->-1) f(x)

If f(x)={:{(2x+1,x le 0),(3(x+1),x gt 0):} . Find lim_(x to 0) f(x) and lim_(x to 1) f(x) .

Let f(x)=lim_(n rarr oo)(2x^(2n)sin\ 1/x+x)/(1+x^(2n)) then find (a) lim_(x rarr oo) x f(x) (b) lim_(x rarr 1) f(x)

If (x^2+x−2)/(x+3) 1) f(x) then find the value of lim_(x->1) f(x)

Let f(x) = {(x sin(1/x)+sin(1/x^2),; x!=0), (0,;x=0):}, then lim_(x rarr oo)f(x) is equal to

If f(x)=lim_(nrarroo) (cos(x)/(sqrtn))^(n) , then the value of lim_(xrarr0) (f(x)-1)/(x) is

If f(x)=lim_(nrarroo) (cos(x)/(sqrtn))^(n) , then the value of lim_(xrarr0) (f(x)-1)/(x) is