If `lim_(x->oo) {In x} and lim_(x->oo) {ln x}` exists finitely but they are not equal (where {:} denotes fractional part function), then :

If lim _(x to c ^(-)) {ln x} and lim _(xto c ^(+)) {ln x} exist finitely but they are not equal (where {.} denotes fractional part function), then:

If lim _(x to c ^(-)) {ln x} and lim _(xto c ^(+)) {ln x} exist finitely but they are not equal (where {.} denotes fractional part function), then:

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

The value of lim_(xrarr1)(xtan{x})/(x-1) is equal to (where {x} denotes the fractional part of x)

If f(x)=e^(x), then lim_(x rarr oo)f(f(x))^((1)/()(x)})); is equal to (where {x} denotes fractional part of x).

lim_(x->1) (x-1){x}. where {.) denotes the fractional part, is equal to:

lim_(x rarr oo)sin x equals

If L=lim_(x to oo) (x+1-sqrt(ax^(2)+x+3)) exists finitely then The value of L is

If L=lim_(x to oo) (x+1-sqrt(ax^(2)+x+3)) exists finitely then The value of L is

lim_(xtoc)f(x) does not exist when where [.] and {.} denotes greatest integer and fractional part of x