please explain this ......from i.a maron

@karna.. no it does not mean the summation thing... (I guess that is why limit definition is not taught at this stage)!

I simply means the value of x_n when n becomes very very large

N(ε) i missed tis question..

This means taht there is a function N depending on ε

SO for every ε, there is a N (natural number)

such that for all n>N (sometimes it is defined as >=N.. both are correct and equivalent)

the value of |a-a_n| < ε

The ε-δ definition of continuity is similar to this one...

At your stage, i would say that for most of you the graphical approach would suffice [1]