lim x--->a
x^2+a^2/x+a
I know this equals (a) but I don't know how to explain my answer.
The first thing you should always do in limit problems is to substitute the approach value into the expression.
If you get a real number answer, you are done!
so if x = a
(a^2 + a^2)/(a+a)
= 2a^2/(2a)
= a
Limits only cause problems when
both numerators and denominators are zero
or something becomes undefined
Thanks! Exactly what I was looking for.
To determine the limit of a function as x approaches a, we can directly substitute a into the function and evaluate the result.
In this case, we need to evaluate the expression (x^2 + a^2)/(x + a) as x approaches a.
Substituting a into the expression, we get:
(a^2 + a^2)/(a + a) = (2a^2)/(2a) = a^2/a = a
Therefore, the limit of the function as x approaches a is equal to a.