We have found the following limit lim x ln ( y ) ln 1 9 x 6 x 5 4 Recall the following theorem If lim n an L and the function f is continuous at L , then lim n f ( an ) f ( L ) Let f ( x ) ex Then we have f ( ln ( y ) ) y As f is continuous at x 5 4 , we have the following ( If the sequence diverges, enter DIVERGES ) lim n 1 9 n 6 n lim n eln ( y )

Question

We have found the following limit   lim x ln ( y )   ln 1   9 x 6 x   5 4 Recall the following theorem  If lim n an   L and the function f is continuous at L , then lim n f ( an )   f ( L ) Let f ( x )   ex   Then we have f ( ln ( y ) )   y   As f is continuous at x   5 4 , we have the following  ( If the sequence diverges, enter DIVERGES  ) lim n 1   9 n 6 n   lim n eln ( y )

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We have found the following limit . lim x ln ( y ) = ln 1 + 9 x 6 x = 5 4 Recall

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