Evaluate the following limit: lim x -> 1 sin (x-1)/ (x^2 + x -2) i got 1/3
Did you use l'Hopital?
we didnt learn it yet so we cant use it
I think you have to. You have 0 over 0 here.
sin(x-1)/(x-1)(x+2) sin(x-1)/(x-1)->1 as x->1 so now we have 1/(x+2)->1/3 since x->1
this is what i did lim x-> 1 sin (x-1)/(x-1)(x+2) sin (x-1)/x-1 x 1/x+2 then substitute the lim in 1x 1/3 1/3
remember sinx/x->1 as x->0 so sin(x-1)/(x-1)->1 as x->1
sin(x-1)/(x-1)->1 as x->1 using l'Hopital?
oh yay myiniaya! we did the same thing
no using sinx/x->1 as x->0
yes, but how do you evaluate that limit without l'hopital?
we could use the squeeze theorem to show sinx/x->1 as x->0
I mean someone could tell you, but they would have had to do it. Or I guess squeeze theorem. But either way I'd like to see more of a justification there.
i could totally prove this sinx/x thing give me a sec and i will post
the lim is x-> 1 though
I know it is.
I just don't know that you know it is ;p
what
lol so i cant use the squeeze theorem
what? You have to use squeeze theorem.
lol what polpak what are you saying to me
do you guys want me to prove it or not?
no. I'm good. I was just saying that purp should give some justification when he uses it in his argument
ok
then isnt my answer right
it is right.
yes it is i think polpak just wants you to understand why sinx/x->1 as x->0
i am a girl thank you very much
so whats the problem?
'he' is not gender specific.
im a girl too. what do you mean you are a girl? are you saying we can't do math as well as guys?
she means I said 'he' before and she was correcting my use of that pronoun
oh lol sorry
but 'he' is correct usage when you don't know the person's gender.
no i don't believe you polpak
why? exactly is that because my teacher did this long proof on the board
it's true! she is gender specific. he is not.
don't make me growl i do not want to be referred to as a he
but purple is girly anyway were here for the math lol
Well now that I know you are a woman I will refer to you as she if it makes you feel better =)
no im here to defend my sex
lol
no i mean why is sinx/x = 1
no i mean why is sinx/x = 1
i will make you a proof k
because it is. You can prove that it is using the sqeeze theorem or l'hopitals.
this website is freezing please dont type fast we'll confuse ourselves
It gets laggy when the question gets too long.
ok thank you gents {i assume} will you help me with my other questions
Of course.
i made you a pretty proof its posted in the attachment
i'll post it somewhere else to cut the lag
aww :$ thank you
does it make sense alittle?
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