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प्रश्न
`lim_{x→0}((3^x - 3^xcosx + cosx - 1)/(x^3))` is equal to ______
पर्याय
2 log 3
`log3/2`
0
log 3
MCQ
रिकाम्या जागा भरा
उत्तर
`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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