If `x_1 and x_2` are the real and distinct roots of `a x^2+b x+c=0,` then prove that `lim_(n->x_1){1+"sin"(a x^2+b x+c)}^(1/(x-x_1))=e^(a(x_1-x_2))`

If x_(1) and x_(2) are the real and distinct roots of ax^(2)+bx+c=0, then prove that lim_(n rarr x_(1)){1+sin(ax^(2)+bx+c)}^((1)/(x-x_(1)))=e^(a(x_(1)-x_(2)))

If x_(1) and x_(2) are the real and distinct roots of ax^(2)+bx+c=0 then prove that lim_(xtox1) (1+sin(ax^(2)+bx+c))^((1)/(x-x_(1)))=e^(a(x_(1)-x_(2))).

If x_(1) and x_(2) are the real and distinct roots of ax^(2)+bx+c=0 then prove that lim_(xtox1) (1+sin(ax^(2)+bx+c))^((1)/(x-x_(1)))=e^(a(x_(1)-x_(2))).

If x_(1) and x_(2) are the real and distinct roots of ax^(2)+bx+c=0 then prove that lim_(xtox1) (1+sin(ax^(2)+bx+c))^(1/(x-x_(1)). equals to

If x_1 and x_2 are two distinct roots of the equation a cosx + b sinx =c then tan""(x_1 + x_2)/(2) is equal to :

If x_1 and x_2 are two distinct roots of the equation acosx+bsinx=c , then tan((x_1+x_2)/2) is equal to (a) a/b (b) b/a (c) c/a (d) a/c

If x_1 and x_2 are two distinct roots of the equation acosx+bsinx=c , then tan((x_1+x_2)/2) is equal to (a) a/b (b) b/a (c) c/a (d) a/c

If x_1 and x_2 are two distinct roots of the equation acosx+bsinx=c , then tan((x_1+x_2)/2) is equal to (a) a/b (b) b/a (c) c/a (d) a/c

If alpha,beta are the distinct roots of x^(2)+bx+c=0 , then lim_(x to beta)(e^(2(x^(2)+bx+c))-1-2(x^(2)+bx+c))/((x-beta)^(2)) is equal to