find-the-domain-of-definition-of-this-function-for-t-0-1-x-x-2x-1-lnt-dt-ptiCantor-

Question Number 196023 by pticantor last updated on 16/Aug/23

f i n d t h e d o m a i n o f d e f i n i t i o n o f t h i s

f u n c t i o n f o r t \in] 0; 1 [

ρ (x) = \int_{x}^{2 x} \frac{1}{l n t} d t

p t i C a n t o r

Answered by sniper237 last updated on 16/Aug/23

t \to \frac{1}{l n t} i s c o n t i n u e o n] 0; 1 [, a n d] 1; + \infty [

p (x) e x i s t i f 2 x, x a r e i n t h e s a m e i n t e r v a l

\Rightarrow 0 < x < 1 / 2 o r 1 < x

Commented by York12 last updated on 16/Aug/23

b r o p l e a s e l o o k a t t h e a b o v e p r o b l e m

Commented by York12 last updated on 16/Aug/23

196206

Commented by York12 last updated on 16/Aug/23

s o r r y I m e a n t 196204

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