### All Calculus 3 Resources

## Example Questions

### Example Question #1 : Limits

Evaluate:

**Possible Answers:**

Does not exist

**Correct answer:**

Explanation:

Since we won't have any divided by zero problems, we can just evaluate at the point.

### Example Question #1 : Partial Derivatives

Calculate the following limit.

**Possible Answers:**

**Correct answer:**

Explanation:

We can calculate the limit

by simply plugging in because the value is defined at and around that point.

So we get

.

### Example Question #1 : Limits

Calculate the following limit.

**Possible Answers:**

**Correct answer:**

Explanation:

We can calculate the limit

by simply plugging in because the value is defined at and at every value in .

So we get

.

### Example Question #4 : Limits

Evaluate

**Possible Answers:**

None of the other answers

Does not exist

**Correct answer:**

Does not exist

Explanation:

If we try evaluating the limit along two different paths, , we have

And

Since evaluating along these two paths yielded diffferent values, the limit does not exist.

### Example Question #1 : Limits

**Possible Answers:**

**Correct answer:**

Explanation:

### Example Question #6 : Limits

**Possible Answers:**

**Correct answer:**

Explanation:

### Example Question #1 : Partial Derivatives

**Possible Answers:**

**Correct answer:**

Explanation:

### Example Question #8 : Limits

**Possible Answers:**

**Correct answer:**

Explanation:

### Example Question #1 : Partial Derivatives

**Possible Answers:**

**Correct answer:**

Explanation:

### Example Question #2 : Partial Derivatives

**Possible Answers:**

**Correct answer:**

Explanation:

Thomas

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