Question

lim as x->5 of square root(25-x^2)?

Answer 1

I"d say do a one-sided test on both \(\bf lim_{x\to 5^-}\sqrt{25-x^2}\qquad lim_{x\to 5^+}\sqrt{25-x^2}\)

Answer 2

dont really know how to do that my original answer was 0 but my professor said it was wrong

Answer 3

well, he's asking on what's the TWO-SIDED limit as "x" approaches 5, and yes, it's not 0
thus you'd need to test it by means of ONE-SIDED limit

Answer 4

you can test by start plugging in values from the left of 5 first
1, 2, 3, 4, 4.5,4.6, 4.9

then you can test by plugging in values from the right of 5
8, 7, 6, 5.8, 5.7, 5.2. 5.1

Answer 5

alright got it