1. Monday, August 31, 2015MAT 145

2. Monday, August 31, 2015MAT 145

3. Monday, August 31, 2015MAT 145

4. Monday, August 31, 2015MAT 145 The concept of... LIMIT!

5. Monday, August 31, 2015MAT 145

6. Monday, August 31, 2015MAT 145 LIMIT LAWS! Suppose that c is a constant and the limits and exist. 1. The limit of a sum is the sum of the limits. 2. The limit of a difference is the difference of the limits. 3. The limit of a constant multiplied by a function is the product of the constant and the limit of the function. 4. The limit of a product is the product of the limits.

7. Monday, August 31, 2015MAT 145 MORE LIMIT LAWS! 5. The limit of a quotient is the quotient of the limits, provided the denominator limit is not 0. 6. The limit of a function raised to a power n is the nth power of the limit of the function. 7. The limit of a constant function is that constant. 8. The limit of y = x as x approaches a is just the value a.

8. Monday, August 31, 2015MAT 145 MORE LIMIT LAWS! 9. The limit of a power function as the base approaches a constant is that constant power function. 11. The limit of an nth-root function is the nth root of the limit of the function. 8. The limit of the nth-root of x as x approaches a is just the nth root of a.

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20. Monday, August 31, 2015MAT 145 Sketch the graph of by finding its intercepts and its limits as and as.

21. Monday, August 31, 2015MAT 145