Does the series &#x2211;<!-- ∑ --> 1 ln 3 </msup>

studovnaem4z6

studovnaem4z6

Answered question

2022-05-17

Does the series 1 ln 3 ( k ) converge or diverge?

Answer & Explanation

Brennan Frye

Brennan Frye

Beginner2022-05-18Added 20 answers

Under ln ( x ) t,
2 b 1 ln 3 ( x ) d x = ln ( 2 ) ln ( b ) e t t 3 d t ln ( 2 ) ln ( b ) t 2 t 3 d t = ln ( x ) | ln ( 2 ) ln ( b ) = ln ( ln ( b ) ) ln ( ln ( 2 ) )
and then letting b , one has
2 1 ln 3 ( x ) d x =
and hence the series diverges.

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