i know the steps but i can't seem to get it
2007-01-14 08:55:35 · 5 answers · asked by huronda_hottie_2006 1 in Science & Mathematics ➔ Mathematics
Multiply the equation by x/x which will leave you with [x(x+1)]/[x(1/x+1)]
Distribute the x in the denominator and you are left with [x(x+1)]/[1+x]
You can now cancel the (x+1) to be left with just x. The Limit as x -> -1 of x is just -1.
2007-01-14 09:03:23 · answer #1 · answered by Scottee25 4 · 1⤊ 1⤋
Do you mean (x+1) / (1/(x+1))?
2007-01-14 16:59:45 · answer #2 · answered by crane 1 · 0⤊ 0⤋
If you have been taught L'Hospital's Rule, that is the one to use. The differentiation is easy.
If you don't know L'Hospital's Rule, the solution given by the poster above me works fine.
2007-01-14 17:09:16 · answer #3 · answered by Anonymous · 0⤊ 0⤋
(x+1) / (1/(x+1) =
(x+1)^2
lim (x+1)^2 = 0
xâ0
xf(x)
01
-0.90.01
-0.990.0001
-0.9990.000001
-0.99991E-08
-0.999991E-10
-0.9999991E-12
-0.99999991E-14
2007-01-14 17:12:38 · answer #4 · answered by Helmut 7 · 1⤊ 0⤋
lim f(x) / g(x) = lim f'(x) / lim g'(x)
lim f'(x) = 1
lim g'(x) = - 1 / x^2
when we solve, we get -1
2007-01-14 17:21:34 · answer #5 · answered by OSO 3 · 0⤊ 0⤋