rArr AM^(2)=4sqrt(3)=

lim_(x rarr sqrt(2))(sqrt(3+2x)-(sqrt(2)+1))/(x^(2)-2)

Let f: XrarrY,f(x)=sinx+cosx+2sqrt(2) be an invertible function. Then which XrarrY is not possible? (a) [pi/4,(5pi)/4]rarr[sqrt(2,)3sqrt(2)] (b) [-(3pi)/4,pi/4]rarr[sqrt(2,)3sqrt(2)] (c) [-(3pi)/4,(3pi)/4]rarr[sqrt(2,)3sqrt(2)] (d) none of these

Let f: XrarrY,f(x)=sinx+cosx+2sqrt(2) be an invertible function. Then which XrarrY is not possible? (a) [pi/4,(5pi)/4]rarr[sqrt(2,)3sqrt(2)] (b) [-(3pi)/4,pi/4]rarr[sqrt(2,)3sqrt(2)] (c) [-(3pi)/4,(3pi)/4]rarr[sqrt(2,)3sqrt(2)] (d) none of these

Let f: Xrarryf(x)=s inx+cosx+2sqrt(2) be invertible. Then which XrarrY is not possible? [pi/4,(5pi)/4]rarr[sqrt(2,)3sqrt(2)] [-(3pi)/4,pi/4]rarr[sqrt(2,)3sqrt(2)] [-(3pi)/4,(3pi)/4]rarr[sqrt(2,)3sqrt(2)] none of these

lim_(x rarr 0) (sqrt(8-3x)+sqrt(8+4x))/(sqrt(2-3x))= _______.

lim_(x rarr2)(sqrt(x^(3)-4)-2)/(sqrt(20-x^(2))-4)

lim_(x rarr oo)x^(3)sqrt(x^(2)+sqrt(1+x^(4)))-x sqrt(2)

lim_(x rarr oo)x^(3)sqrt(x^(2)+sqrt(1+x^(4)))-x sqrt(2)

lim_(x rarr 0) (sqrt(2+x^(3)) - sqrt(2-x^(3)))/ x^(3) =

Evaluate the following limit: (lim)_(x rarr sqrt(3))(x^(4)-9)/(x^(2)+4sqrt(3)x-15)