Evaluate the limit using Limit Laws: lim (t^4-2)/(2t^2-3t+2) as t-->-2

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crybloodwing

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lim (t4-2)/(2t2-3t+2) as t-->-2

First I tried the Direct Substitute Law and replaced all t's with -2. On the bottom I got 0. This means I need to use another way to find the limit.

Other ways we were told to do
1. Factoring
2. Rationalizing the Numerator


1. I tried factoring but was unable to factor it at all.
2. There is nothing to rationalize.

3. So I graphed it. At -2 the answer was 0.875 or 7/8th. This matches the answer in the book.

However, our teacher never said to use graphing as a way to do this. Is there a way that I missed with Limit Laws or is there a way to factor this?
 
crybloodwing said:
lim (t4-2)/(2t2-3t+2) as t-->-2

First I tried the Direct Substitute Law and replaced all t's with -2. On the bottom I got 0. This means I need to use another way to find the limit.

Other ways we were told to do
1. Factoring
2. Rationalizing the Numerator


1. I tried factoring but was unable to factor it at all.
2. There is nothing to rationalize.

3. So I graphed it. At -2 the answer was 0.875 or 7/8th. This matches the answer in the book.

However, our teacher never said to use graphing as a way to do this. Is there a way that I missed with Limit Laws or is there a way to factor this?
Click to expand...

(2t2-3t+2) = 2*(-2)^2 -3*(-2) +2 = 8 + 6 + 2 = 16
 
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