## Posts Tagged ‘analytically’

### Ex: Determine Limits of a Piecewise Defined Function

This video explains how to determine one-sided limits and limits of a piece-wise defined function.  The results are verified graphically.

### Ex 1: Determine a Limit of a Rational Function by Expanding or Factoring

This video provides an example of determining a limit of a rational function algebraically by factoring and expanding.  The results are verified graphically.

### Ex 2: Determine a Limit of a Rational Function by Factoring and Simplifying

This video provides an example of determining a limit of a rational function algebraically by factoring, simplifying and performing direct substitution.  The results are verified graphically.

### Ex 3: Determine a Limit of a Rational Function by Factoring and Simplifying

This video provides an example of determining a limit of a rational function algebraically by factoring, simplifying and performing direct substitution.  Synthetic division is performed to factor.  The results are verified graphically.

### Example 1: Determine a Limit Analytically

```This video determines two limits analytically by performing direct substitution.
One is a polynomial function and the other is a square root function.  The result is verified graphically.
Complete Video List at http://www.mathispower4u.com
```

### Example 3: Determine Limits Analytically by Factoring

```This video determines two limits analytically by performing factoring.
Both functions are rational functions.  The result is verified graphically.
Complete Video List at http://www.mathispower4u.com
```

### Example 2: Determine Limits of a Piece-Wise Defined Function Analytically

```This video determines two limits of a piece-wise defined function analytically.  The result is verified graphically.
Complete Video List at http://www.mathispower4u.com
```

### Example 4: Determine Limits of a Rational Function Analytically

```This video determines two limits of a rational function analytically.  The result is verified graphically.
Complete Video List at http://www.mathispower4u.com
```