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# Definition of limit

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1. I have only encountered questions that f(x)-L that can be factorize to get a constant, and delta is epsilon divide that number, as a high school student. I have no idea how to choose a epsilon for this question. Thanks.
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2. (Original post by yecko)
I have only encountered questions that f(x)-L that can be factorize to get a constant, and delta is epsilon divide that number, as a high school student. I have no idea how to choose a epsilon for this question. Thanks.
You can:

a) factorise x^2-x-2 = (x-2)(x+1)
b) put a numerical limit on delta - as you know it will be very small eventually, you can restrict it initially to be no bigger than some constant
c) find the maximum size of |x+1|

However, none of the suggested answers look correct to me.

I'm impressed that a high school student is doing such stuff.

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