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Show that Lim(x to 2) log(10){x^(6) +sqr...

Show that `Lim_(x to 2) log_(10){x^(6) +sqrt((x^(2)+1292))}=2 `

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The correct Answer is:
Given limit ` = log_(10)[ Lim_( xto 2) x^(6) + sqrt(Lim_(x to 2) (x^(2) + 1292))] = log_(10)[ 2^(6) +sqrt(1296) ] = log_(10) 100 = 2 `
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