# If the limit of f(x) as x tends to a = L and the limit of g(x) as x tends to a =M Proof that, lim[f(x)-g(x)] as x tends to a = L-M?

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As it is written the statement is wrong.

As it is written the statement is wrong.

##### 1 Answer

We have to use the limit definition

#### Explanation:

Because of the limit definition we know:

Now let's consider *any*

Since

Since

If we now take

and therefore:

if

That is, the