Chapter 1 Sec 2 & 3 Flashcards

0
Q

Give an example of a function that approaches a different number from the right side of c than the left side of c

A

I x I
—–
Lim. x
x ➡ 0

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1
Q

What are the common types of behavior associated with the no existence of a limit

A
  1. F(x) approaches a different number from the right side of c than the left side of c.
  2. F(x) increases or decreases without bound as x approaches c.
  3. F(x) oscillates between two fixed values and x approaches c.
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2
Q

Give an example of a function that increases or decreases without bound as x approaches c

A
1
           ------  
                 2
   Lim     x
 x ➡ 0
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3
Q

Give an example of a function that oscillates between two fixed values as x approaches c

A

1
Sin—–
Lim x
x ➡ 0

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4
Q

What does the … Equal? ⛔ Is theta

      Sin⛔
     --------   Lim     ⛔ x➡0
A

= 1

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5
Q

What does …. Equal?

        1 - cos x
        ----------    Lim         x x ➡ 0
A

= 0

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6
Q

What is the first thing you Always always do when evaluating a limit analytically

A

Try direct substitution

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7
Q

If direct substitution doesn’t work what other methods can you try

A

The factor / cancel method

Rationalize the number

Find a common denominator

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