This is my problem:
lim x--> -2 ((1/(x+2))+(4/((x^2)-4))
I know that the answer is 1/4, but I keep getting 4. This is my work so far:
((x^2)+4)/((x+2)((x^2)-4)) + (4(x+2)/((x+2)((x^2)-4))
I factor (x^2)-4 into (x+2)(x-2) in every place it appears. That causes everything in the denominator to cancel out, leaving 4 in the numerator.
I am obviously doing something wrong, but I've tried 5 different ways to solve this problem, and I end up with 4 every time. Can someone please tell me what I am doing wrong? I would be extremely grateful.
lim x--> -2 ((1/(x+2))+(4/((x^2)-4))
I know that the answer is 1/4, but I keep getting 4. This is my work so far:
((x^2)+4)/((x+2)((x^2)-4)) + (4(x+2)/((x+2)((x^2)-4))
I factor (x^2)-4 into (x+2)(x-2) in every place it appears. That causes everything in the denominator to cancel out, leaving 4 in the numerator.
I am obviously doing something wrong, but I've tried 5 different ways to solve this problem, and I end up with 4 every time. Can someone please tell me what I am doing wrong? I would be extremely grateful.
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