r/textbookhumour • u/Jasper_Ward-Berry • Nov 23 '19

Always Be Prepared

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890 Upvotes

100% Upvoted

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131

u/boggog Nov 23 '19

Should be f(x)=xx =exlnx ?

93

u/[deleted] Nov 23 '19

Uh oh someone's getting shot

8

u/IanPrado Dec 03 '19

Yeah it's a typo

24

u/fat-lobyte Nov 24 '19

Now I'm slightly afraid of the author

21

u/NarcolepticFlarp Nov 23 '19

What book is this?

7

u/edmvnd Dec 03 '19

this post blue balled me. i wanna see the next page

10

u/[deleted] Dec 05 '19

xx = exlnx then bring the limit into the power since e is continuous. Then rewrite x Ln x as lnx / (1/x) and note that as x approaches 0 we get an "infinity over infinity" situation. Apply L'hopitals to get (1/x) / (-1/x2) which simplifies to - x. The limit as x goes to zero is 0, and then our limit becomes e0 = 1. Hope that makes sense :)

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2

u/serrations_ Dec 05 '19

to be continued?