The largets value of non negative integer for which `lim_(x->1){(-a x+sin(x-1)+a]1-sqrt(x))/(x+sin(x-1)-1)}^((1-x)/(1-sqrt(x)))=1/4`

The largets value of non negative integer for which lim_(x rarr1)((-ax+sin(x-1)+a]1-sqrt(x))/(x+sin(x-1)-1)}^((1-x)/(1-sqrt(x)))=(1)/(4)

The largets value of non negative integer for which lim_(x->1){(-a x+sin(x-1)+a)/(x+sin(x-1)-1)}^((1-x)/(1-sqrt(x)))=1/4

The largets value of non negative integer for which lim_(x->1){(-a x+sin(x-1)+a)/(x+sin(x-1)-1)}^((1-x)/(1-sqrt(x)))=1/4

The largets value of non negative integer for which lim_(x->1){(-a x+sin(x-1)+a)/(x+sin(x-1)-1)}^((1-x)/(1-sqrt(x)))=1/4

The largest value of non negative integer a for which lim_(x->1){(-a x+sin(x-1)+a]/(x+sin(x-1)-1)}^((1-x)/(1-sqrt(x)))=1/4

The largest value of the non-negative integer a for which lim_(xto1) {(-ax+sin(x-1)+a)/(x+sin(x-1)-1)}^((1-x)/(1-sqrt(x)))=(1)/(4) is ___________.

The largest value of the non-negative integer a for which lim_(xrarr1){(-ax+sin(x-1)+a)/(x+sin(x-1)-1)}^((1-x)/(1-sqrtx)}= 1/4

The largest value of the non-negative integer a for which underset(x rarr 1)lim {(-ax + sin(x-1) + a)/(x+sin(x-1)-1)}^((1-x)/(1-sqrt(x)))= (1)/(4)

The largest value of non-negative integer a for which underset( x rarr 1 ) ( "lim"){ ( -ax+ sin ( x - 1) + a ) /(x + sin ( x - 1) -1)}^((1-x)/( 1- sqrt( x)) ) = ( 1)/( 4) is

lim_(xrarr0) (sin4x)/(1-sqrt(1-x)) , is