SOLUTION: Which of the following should the limit be evaluated using the dividing out technique? Thanks for your help.
limits: https://s30.postimg.org/4vh62wiwx/math1.png
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limits: https://s30.postimg.org/4vh62wiwx/math1.png
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Question 1081520: Which of the following should the limit be evaluated using the dividing out technique? Thanks for your help.
limits: https://s30.postimg.org/4vh62wiwx/math1.png Found 2 solutions by jim_thompson5910, MathLover1:Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! Problem:
Which of the following should the limit be evaluated using the dividing out technique?
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The answer is choice B. Here's why
If we plug x = 4 into the expression, we run into the problem having 0 in the denominator. Notice how x-4 turns into 4-4 = 0 when we replace x with 4. Luckily, we can factor the numerator to get x^2-16 = (x-4)(x+4). A pair of "(x-4)" terms will cancel leaving just x+4. At this point, we plug in x = 4 to get x+4 = 4+4 = 8 which is the limiting value.
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