2007-09-07 10:05:04 · 4 answers · asked by brainless 2 in Science & Mathematics ➔ Mathematics
that limit will be positive infinity because when you graph this function on your calculator you can see at x= 2 is vertical asymptoes.
limit from the left of 2 and the limit from right of 2 are the same direction going upward forever and closed to x= 2 therefore limit x go to 2 is infinity.
2007-09-07 10:22:33 · answer #1 · answered by Helper 6 · 0⤊ 0⤋
limxâ2 1/(x-2)²
= limxâ2 1/(x² - 4x + 4)
= limxâ2 (1/x²) / [1 - (4/x) + (4/x^2)]
= (1/4) / [1 - 2 + 1]
= (1/4) / 0
= infinity
2007-09-07 19:16:56 · answer #2 · answered by Kemmy 6 · 0⤊ 0⤋
limxâ2 1/(x-2)² = infinity
2007-09-07 17:19:40 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋
the result is infinite
2007-09-07 17:14:02 · answer #4 · answered by shanghai beach 3 · 0⤊ 0⤋