contradictory results with limit
Publié : mer. déc. 27, 2017 7:15 pm
Hello,
the commandgives sqrt(2), but this limit does not exists actually. If one inputsthe correct results -sqrt(2) and sqrt(2), respectively, are obtained. One-sided limits differ (because ln(1+x) changes sign), so limit can't exist.
By the way, what's the purpose of bounded_function? Function limit returns those in cases when limit does not exist and is not +/-infinity (for example, limit(sin(x),x,inf)). But wouldn't it be more convenient to just return undef in such cases?
the command
Code : Tout sélectionner
limit(acos(1-x^2)/ln(1+x),x,0)Code : Tout sélectionner
limit(acos(1-x^2)/ln(1+x),x,0,-1); limit(acos(1-x^2)/ln(1+x),x,0,1)By the way, what's the purpose of bounded_function? Function limit returns those in cases when limit does not exist and is not +/-infinity (for example, limit(sin(x),x,inf)). But wouldn't it be more convenient to just return undef in such cases?