2a - Limits Algebraically - Substitutions and Tricks PDF

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2a - Limits Algebraically - Substitutions and Tricks...

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2 - 2.2 Limits Algebraically - Sustitution and Tricks

Calculus I

August 28, 2019 1) Determine the limit algebraically:

Section 2.2 Finding Limits Algebraically by Substitution

2) Determine the limit algebraically:

Try this one on your own.

-1

R.D. at x = -1

2 - 2.2 Limits Algebraically - Sustitution and Tricks

August 28, 2019 Ex. 5: Multiplying by the Conjugate Technique TRICK: We multiply by a convenient form of one

Section 2.2 Finding Limits Algebraically Using "Tricks" to find the answer.

Ex. 6: Find a common denominator

Ex. 7: Multiply out and simplify: lim

2 - 2.2 Limits Algebraically - Sustitution and Tricks

lim

1) Multiply out factors 2) Combine like terms 3) Factor out h in numerator 4) Divide out h 5) Substitute in h = 0

SUMMARY Always substitute the value x is approaching in first.

 If you get a number, that is your answer.  Limit is DNE (nonremovable discontinuity)  If you have 0/0 this is most likely a removable discontinuity use your tricks: 1. Factor

2. Multiply by the conjugate 3. Find a common denominator

August 28, 2019...