Can someone please help me? walk me through this? lim (1/x) -1/(x^2)+x) x->0
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Originally Posted by darkblue Can someone please help me? walk me through this? lim (1/x) -1/(x^2)+x) x->0 First of all, we should verify our associations. Is this what you meant?
Originally Posted by VonNemo19 First of all, we should verify our associations. Is this what you meant? yes that exactly
Originally Posted by darkblue yes that exactly Begin by combining the fractions by finding the LCD and note the indeterminate form . Do you know how to proceed?
Originally Posted by VonNemo19 Begin by combining the fractions by finding the LCD and note the indeterminate form . Do you know how to proceed? ok so i got (x^2)-2x all over (x^3)-(x^2) now i really dont know what to do....
use l'hospital's rule. I advise you to look it up in your textbook or google it.
Originally Posted by darkblue ok so i got (x^2)-2x all over (x^3)-(x^2) now i really dont know what to do.... That's not quite right. First note that . The LCD is . Can you try to combine the fractions now? You should see some kind of nice cancellation occur. Originally Posted by superdude use l'hospital's rule. I advise you to look it up in your textbook or google it. L'Hôpital's rule is overkill for this one.
Originally Posted by darkblue ok so i got (x^2)-2x all over (x^3)-(x^2) now i really dont know what to do.... forget how to combine fractions?
Originally Posted by skeeter forget how to combine fractions? okay thankyou. but now after doing that and we are left with what do i do now?
Originally Posted by darkblue okay thankyou. but now after doing that and we are left with what do i do now? Cancel the x's and substitute directly.
Originally Posted by VonNemo19 Cancel the x's and substitute directly. ok thank you..so i get 1/(x+1) substitute zero and get 1/1 = 1 so is the limit 1 then?
Originally Posted by darkblue ok thank you..so i get 1/(x+1) substitute zero and get 1/1 = 1 so is the limit 1 then?
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