can anyone help me solve the lim of lnx/x-1 as x goes to 1

Question

anonymous · Answer

$$\lim_{x \rightarrow 1}\ln x \div x-1$$

lgbasallote · Answer

$$\lim_{x\rightarrow 1} (\frac{\ln x}{x-1})?$$

lgbasallote · Answer

coincidentally...if you substitute x = 1 right now..you'll get 0/0 <--you can use l'hospital

lgbasallote · Answer

pls tell me you know l'hospital....

lgbasallote · Answer

i hate limits that dont use l'hospital lol

anonymous · Answer

yes I know

anonymous · Answer

and yes that is the right equation

lgbasallote · Answer

ahh wonderful!

lgbasallote · Answer

take the derivative of numerator and denominator

$$\frac{\frac{1}{x}}{1} \implies \frac 1x$$
now sub in
$$\lim_{x \rightarrow 1}\frac{1}{1} \implies 1$$

lgbasallote · Answer

do you get that?

lgbasallote · Answer

@Zarkon feel free to point out if i made a mistake...limits is not my field of expertise i admit

anonymous · Answer

yes

lgbasallote · Answer

nice!

anonymous · Answer

trust me I'm just learning this stuff and I only have 3 weeks to get this Calculus class over.

lgbasallote · Answer

l'hospital is the only topic i remember from limits lol

anonymous · Answer

lol

lgbasallote · Answer

i suggest you practice your derivatives though...i believe that makes up 3/4 of the calculus I curriculum so if you master derivatives..you're good...and it'll make it easier for you to do l'hospital

anonymous · Answer

ok thanks :)

anonymous · Answer

can someone help me slove this attachment below.