Log in to add a comment

## Answers

x----->0

= lim (2/x){(a^x + b^x + c^x)/3 - 1} [lim f(x)^g(x) = lim g(x){f(x) -1}]

x------.>0 x-->0 x--->0

= 2/3 lim {(a^x -1)/x + (b^x - 1)/x + (c^x -1)} {if lim f(x) = 1 ; lim g(x) = ∞}

x------>0 x--->0 x---->0

= 2/3 (lna + lnb + lnc) {lim (a^x -1)/1 = lna & so on for b ; c}

= 2/3ln(abc) x--->0