In google paste:
emathhelp limit calculator
When you see list of result click on:
Limit Calculator - eMathHelp
When page be open in rectangle Enter a function:
type
sqrt (x) ln (x)
In rectangle Find the limit at:
type 0
In rerctangle Choose a direction:
select
Right-hand limit
Them click
CALCULATE
You will see solution step-by-step
Compute:
lim √x lnx as x approaches zero positive
2 answers
lim √x lnx
= lim lnx/(1/√x)
using l'Hospital's Rule, let's see what happens
= lim (1/x)/(-1/2 x^-(3/2))
= lim -2√x
= 0
= lim lnx/(1/√x)
using l'Hospital's Rule, let's see what happens
= lim (1/x)/(-1/2 x^-(3/2))
= lim -2√x
= 0