Question

help! i dont understand L'hopital's rule

Answer 1

give the question and let me lecture you

Answer 2

What part

Answer 3

this two problems

Answer 4

@perl my tutor could help here

Answer 5

i understand the tests but the l'hopitals i always mess up i dont get how they get those

Answer 6

you just take derivative of denom and num

Answer 7

f/g becomes f'/g'

Answer 8

but you can only do l hopitals in certain situations

Answer 9

Which part is unclear
$$\stackrel{H}{\Rightarrow}$$

Answer 10

like how did nsin(1/n) turn into sin(1/n) / (1/n)

Answer 11

because
$$ \Large \rm n = \frac{1}{ \frac 1n} $$

Answer 12

and tan(1/x) / (1/x) turn into sec^2(1/x)*(-1/x^2) / (-1/x^2)

Answer 13

how is n equal to that

Answer 14

$$ \Huge \rm 2 = \frac{1}{ \frac 12} $$

Answer 15

by properties of fractions

Answer 16

oh okay

Answer 17

i told you perl will do it

Answer 18

but where does the top 1 come from

Answer 19

$$\Huge \rm
{
\frac{1}{ \frac 1n}
= \frac{1}{ \frac 1n }\cdot \frac{\frac n 1}{ \frac n 1}
\\~\\ = \frac{1}{ \frac 1{\cancel n} }\cdot \frac{\frac n 1}{ \frac {\cancel{n}} 1}

}
$$

Answer 20

do you agree the left side equals right side

Answer 21

yeah

Answer 22

@El_Arrow make sure you fan @perl he is very Good just that he most times is busy

Answer 23

but then how do you turn that into