[" largat value of non-Neganive Anteger a "],[qquad [" 10."lim_(x rarr1)y=(-ax+sin(x-1)+a)/(x+sin(x-1)-1)int(1-x)/(1-sqrt(x))=1/4]]

lim_(x rarr1)(x-1)/(sin(x-1))

lim_(x rarr1)(x-1)/(sin(x-1))

lim_(x rarr1)(x-1)/(sin(x-1))

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 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 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 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

lim_(x rarr4)(sin(x-1))/(x^(3)-1)

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