`lim_(xto oo) ((x+5)/(x-1))^(x)` is equal to

lim_(xrarr oo) ((x+5)/(x-1))^(x) is equal to

(lim_(xto oo) ((x+3)/(x+1))^(x+1) is equal to

lim_(x to oo) ((x+a)/(x+b))^(x+b) is equal to

lim_(x rarr oo)((x-3)/(x+2))^(x) is equal to

lim_(xrarr oo)(1+(1)/(x))^(x//2) is equal to

lim_(xto oo)(x/(1+x))^(x) is

lim_(x to oo) (1+k/x)^(mx) is equal to

What is lim_(xto0) ((1+x)^(n)-1)/(x) equal to ?

If lim_(xtoa)f(x)=1 and lim_(xtoa)g(x)=oo then lim_(xtoa){f(x)}^(g(x))=e^(lim_(xtoa)(f(x)-1)g(x)) lim_(xto0)((x-1+cosx)/x)^(1/x) is equal to