- #1

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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.

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- Thread starter Meeker
- Start date

- #1

- 5

- 0

Determine the value of b so that each limit exists.

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

x->b

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

- #2

Mark44

Mentor

- 34,885

- 6,624

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.## 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.

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