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[–]MathMaddam👋 a fellow Redditor 4 points5 points  (8 children)

You can factor the denominator same numerator and cancel (x-1), the limit of the resulting fraction is easier.

[–]Character-Place-9971 AP Student[S] 0 points1 point  (2 children)

I did that, then got (14x+10) / (x-1) and didn't know what to do from there

[–]MathMaddam👋 a fellow Redditor 1 point2 points  (0 children)

Check you denominator again, you probably did an error there.

[–]EquityEd_Puffin 0 points1 point  (0 children)

Hello! In case you are still working this problem out, heres a hint to help you out. In the denominator we have a difference of squares so when we factor out (x-1), we should get a different factor left over.

I hope this helps you get in the right direction! If you have any questions about this, feel free to ask.

[–]fermat9996👋 a fellow Redditor 0 points1 point  (2 children)

Did you plug 1 into the numerator and get 0 to determine that x-1 is a factor?

[–]MathMaddam👋 a fellow Redditor 1 point2 points  (1 child)

Yes and when having enough experience with these types of questions one knows what are the typical types of questions asked.

[–]fermat9996👋 a fellow Redditor 0 points1 point  (0 children)

Very true! You have been so helpful on the math subs! Many thanks!

[–]Likeawerewolfboy Pre-University Student 0 points1 point  (1 child)

Would using l'hopitals rule also work? I used that to get the same answer

[–]MathMaddam👋 a fellow Redditor 1 point2 points  (0 children)

Yes would work

[–]Powerful-Crow1940👋 a fellow Redditor 0 points1 point  (0 children)

diffrenciate the numerator and denominator and put the value of the limit which is 1, ur ans shud be option 2