[tex](adsbygoogle = window.adsbygoogle || []).push({});

\int_0^1 \frac{1}{\sqrt{x}}\,\mathrm{d}x

[/tex]

=

[tex]

\lim_{\varepsilon \to 0+}\int_\varepsilon^1 \frac{1}{\sqrt{x}}\,\mathrm{d}x

[/tex]

My question is about the usage of 0+ in the limit.(I evaluated the integrals and arrived at the part where I substitute upper and lower limits.)

Did the author deliberately choose to use [tex]\lim_{\varepsilon \to 0+} [/tex] instead of 0 or 0- so that any imaginary numbers arising from the expression [tex]2\sqrt{x}[/tex] do not arise?

Or is there any other reason?

Thanks.

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# Improper integral limit

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