Now we can consider the limit of ln ( y ) lim x ln ( y ) lim x 6 x ln 1 3 x lim x ln 1 3 x 1 6 x These limits are indeterminant forms, so we can apply L 'Hospital 's Rule as follows lim x ln 1 3 x 1 6 x L ' H lim x 1 1 3 x 1 6 x 2

Question

Now we can consider the limit of ln ( y )   lim x ln ( y )   lim x 6 x ln 1   3 x   lim x ln 1   3 x 1 6 x These limits are indeterminant forms, so we can apply L 'Hospital 's Rule as follows  lim x ln 1   3 x 1 6 x L  ' H   lim x 1 1   3 x 1 6 x 2

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Now we can consider the limit of ln ( y ) . lim x ln ( y ) = lim x 6 x ln 1

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