Limits

[MrPrinceNadz]

Can anyone find the limit for this function plz... really need it... lim when x->-2 x^3-3x^2+2x
x^2-x-6

[mike]

[farhaana]

hi, i really need your help.how to prove lim x approacehs to -4 where x^2=16. using epsilon and delta property

[mike]

[farhaana]

thanks mike, just a bit confused, is it same if the limit is approaching to -ve number?

[mike]

[farhaana]

oh,-ve means negative number.i make it short.

[mike]

Ok, then yes it is the same. The function is symmetric across the axis and so your going to use pretty much the same argument. The only difference is that you have


So

You can make as small as you'd like (smaller then the $\delta$ that you choose) and then you just need to show that $(x-4)$ is bounded just like we do in the video. Once you have that done the proof will work out very similarly just keeping in mind that $x-4$ will be less than some constant and $x+4$ will be less then $\delta$

[farhaana]

thanks mike for your help. =)

[fluidigm36]

hi, i have this limits equation that I have a hard time solving its:
limx->-sqrt6 x^2 - 6/ x^3 + 6^3/2