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How do you determine the limit algebraically?

How do you determine the limit algebraically?-example-1
User Quixotic
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1 Answer

3 votes

Answer:

- 0.0625

Explanation:

Again, I don't know of another way besides Calculus other than letting x = something very tiny.

When you use calculus, the answer approaches - 1/16 = - 0.0625 (I think). So we'll let x = 0.01 and see how that goes.

numerator: 1/(0.01 + 4) - 1/4

(0.24938 - 0.25) / 0.01

- 0.000623 / 0.01 = - 0.0623 which is pretty close considering what I used for x. You could try it with 0.0001 which will get much closer.

User Arivero
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