Question

I need help with epsilon delta limit proofs.
find the limit Then use the E-d definition
to prove that the limit is L.
limx-->1 (x^2+1)

Answer 1

lim x--> 1 (x^2+1) = 2

let e>0 find d>0 so that
0<|x-c|=|x-1|<d
then |f(x)-L|=|x^2+1-2|< E


suppose

|(x^2+1)-2|=|x^2-1|=|x-1||x+1|<E

so now i have |x-1| < E/|x+1|

Answer 2

u needs lyfe