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Question
`lim_{x→0}((3^x - 3^xcosx + cosx - 1)/(x^3))` is equal to ______
Options
2 log 3
`log3/2`
0
log 3
MCQ
Fill in the Blanks
Solution
`lim_{x→0}((3^x - 3^xcosx + cosx - 1)/(x^3))` is equal to
`underline(log3/2)`.
Explanation:
`lim_{x→0}((3^x - 3^xcosx + cosx - 1)/(x^3))`
= `lim_{x→0}((3^x - 1)/x)((1 - cosx)/x^2)`
= (log 3) `1/2`
= `log3/2`
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