lf `a ,b , in {1,2,3,4,5,6,},` find the number of ways `a` and `b` can be selected if `lim_(x->0)((a^x+b^x)/2)^(2/x)=6.`

If a,b,in{1,2,3,4,5,6,}, find the number of ways a and b can 2 be selected if lim_(x rarr0)((a^(x)+b^(x))/(2))^((2)/(x))=6

If a ,b ,c in {1,2,3,4,5,6,} find the number of ways a, b, c can be selected if f(x)=x^(3)+a x^2+b x+c is an increasing function.

If a ,b ,c in {1,2,3,4,5,6,} find the number of ways a, b, c can be selected if f(x)=x^(3)+a x^2+b x+c is an increasing function.

If a,b,c in{1,2,3,4,5,6,} find the number of ways a,b,c can be selected if f(x)=x^(3)+ax^(2)+bx+c is an increasing function.

If a,b are chosen from {1,2,3,4,5,6,7} randomly with replacement. The probability that lim_(x to0) ((a^x+b^x)/2)^(2//x)=7 is

Evaluate lim_(x to 2)((x^3-2x^2)/(x^2-5x+6))

lim_(x rarr0)(3x^(2)+5x-1)/(x^(2)+2x+6)

Evaluate lim_(xto0) ((a^(x)+b^(x)+c^(x))/(3))^(2//x),(a,b,cgt0)