Just had an exam where the question was roughly:

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Using an epsilon delta definition of limit, prove that the limit

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I am not very confident with proving the limit definition of quadratics..

So I folded and decided to do it by two sided limit.

Rough attempt

For an , there exists a , such that :

Left hand limit:

Right hand limit:

There exists an and a on both sides of 1, which approach the value of 4.

Thefore the limit does exist, and it is 4. ▫

Pretty sure I messed up monumentally.. Linear functions are so much easier to prove than quadratics. :/