limits urgent help needed?

0 ⤊

limits urgent help needed?

find the value of limit lim x->(pi -) (sin x/ 1-cos x)
(a)1 (b)-1 (c) infinity (d) -infinity (e) none

2006-11-07 05:20:11 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

3 answers

The sin of pi approaches 0 which makes the numerator 0. One minus the cos of pi approaches 2. Which makes the denominator 2. This makes the limit 0/2 or 0 so none of the answers are correct so choice (e).

2006-11-07 05:26:36 · answer #1 · answered by steve0stac 2 · 0⤊ 0⤋

Usae L'Hospital's rule
Take derivative of numerator and denominator to get:
cos x/sin x so limit of this is negative infinity.

2006-11-07 13:30:31 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋

The answer I got is zero, hence choice (e)

2006-11-07 13:34:48 · answer #3 · answered by Anonymous · 0⤊ 0⤋