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Evaluate the following limit: lim(x->0)(...

Evaluate the following limit: `lim_(x->0)(8^x-4^x-2^x+1)/(x^2)`

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`lim_(x->0)(8^x-4^x-2^x+1)/(x^2)`
`=lim_(x->0)(4^x(2^x-1)-1(2^x-1))/(x^2)`
`=lim_(x->0)((2^x-1)(4^x-1))/(x^2)`
`=lim_(x->0)(2^x-1)/x xx lim_(x to 0) (4^x-1)/x`
`=log(2) log(4)`
`=2(log2)^2`
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