2 - x
10. lim 2
x-0 x + 4
Please, help me, thanks
To find the limit of a function as x approaches a specific value, you can apply direct substitution first. If direct substitution gives a defined value, then that is the limit. However, if direct substitution results in an undefined form (such as 0/0 or ∞/∞), you'll need to use other methods such as factoring, conjugate multiplication, or L'Hôpital's rule.
In this case, let's find the limit of the given function:
lim(x → 0) ((2 - x)/(x + 4))
Start by applying direct substitution:
lim(x → 0) ((2 - 0)/(0 + 4))
= (2/4)
= 1/2
Since direct substitution gives a defined value of 1/2, this is the limit of the function.
Therefore, the answer to your problem is:
lim(x → 0) ((2 - x)/(x + 4)) = 1/2