Question

What is the lim(x^2-25)/(x-5) as x approaches 5

Answer 1

10

Answer 2

can you explain it im having trouble understanding limits

Answer 3

Factor the numerator into (x+5)(x-5). The like expressions cancel out, leaving x+5. Then, just plug and play.

Answer 4

\[\lim_{x \rightarrow 5} \frac{\cancel{(x-5)}(x+5)}{\cancel{(x-5)}}\]

Answer 5

m(x^2-25)/(x-5) as x approaches 5 = lim (x+5)(x-5) / (x-5) = lim (x+5) as x approaches 5 = lim ( (5) +5) = lim (10) as x approaches 5 = 10.
Check out the graph at this link:
http://www.wolframalpha.com/input/?i=y%3D+%28x%5E2-25%29%2F%28x-5%29