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multiply and divide by x , to get the function in the form of sin x/ x

can u draw it out so i can see what ur talking about

\(\huge\frac{sin x}{x}\:\frac{x}{\sqrt[3]{x}}\)

oh ok

and then from there which method would u use

u know the formula :
\[\lim_{x \rightarrow 0}\: sinx / x = 1\]
?
use that for first fraction.

welcome :)
what did u get the final answer as ?

hang on lolz

is it 0?

yup, its 0
good work :)

yay!!!

thank you!!

i need help again actually with number 84 now

ok, if f(x) = root x
what will be f(x+h) ??
u know?

im confused on tht part

ok, to get f(x+h) just replace x by (x+h) in f(x)
so
f(x+h) will be \(\sqrt{x+h}\)
ok?

ok

and then what?

yeah i got tht part

oh so ur multiplying it by its conjugate right ?

yup, so that i get only h in numerator and that i can cancel it with h in denominator
ok?

oh ok

i made a typo ..... it should be \(-\sqrt{x} \) and not \(-\sqrt{h} \)
in the numerator

wait a minute now im confused a bit

because itsf(x+h) - f(x) which is \(\sqrt{x+h} \) \(-\sqrt{x} \)

oh ok

would it still be h in the numerator i think..

do you have \[\sqrt{x+h} + \sqrt{x}\]

right?

idk lolz

\[\sqrt{x+0} +\sqrt{x}\]

is it?

hang on im confused how do u get \[\frac{ 1 }{ 2\sqrt{x} }\]

oh ok

thanks!

welcome :)

u r a very helpful math teacher!