Determine the value of b?

  • Thread starter Meeker
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  • #1
Meeker
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Homework Statement


Determine the value of b so that each limit exists.

lim (4x^2 + 11x -3) / (x-b)
x->b


Homework Equations





The Attempt at a Solution



I factored it to (4x-1)(x+3) / (x-b) but still not too sure what else to do.
 

Answers and Replies

  • #2
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8,199

Homework Statement


Determine the value of b so that each limit exists.

lim (4x^2 + 11x -3) / (x-b)
x->b


Homework Equations





The Attempt at a Solution



I factored it to (4x-1)(x+3) / (x-b) but still not too sure what else to do.
In order for the limit to exist, the discontinuity caused by dividing by x - b has to be removable. This means that there must also be a factor of x - b in the numerator.
 

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