1. MATH 101- term 101 : CALCULUS I – Dr. Faisal Fairag Sec 2.2: THE LIMIT OF A FUNCTION Sec 2.3: CALCULATING LIMITS USING THE LIMIT LAWS From sec 2.1: Example: Find limit from right We say that the limit of f(x) as x approaches 2 from the right is equal to 4 The symbol x  2+ means that we consider only values of x > 2 f(x) x 83 5.752.5 4.642.2 4.312.1 4.15252.05 4.03012.01 4.0150252.005 4.0030012.001

2. MATH 101- term 101 : CALCULUS I – Dr. Faisal Fairag Example: Find f(x)x 21 2.751.5 3.441.8 3.711.9 3.85251.95 3.97011.99 3.9850251.995 3.9970011.999 limit from right We say that the limit of f(x) as x approaches 2 from the right is equal to 4 The symbol x  2+ means that we consider only values of x > 2 f(x) x 83 5.752.5 4.642.2 4.312.1 4.15252.05 4.03012.01 4.0150252.005 4.0030012.001 limit from left We say that the limit of f(x) as x approaches 2 from the left is equal to 4 The symbol x  2- means that we consider only values of x < 2 Sec 2.2: THE LIMIT OF A FUNCTION Sec 2.3: CALCULATING LIMITS USING THE LIMIT LAWS

3. Example: Find Sec 2.2: THE LIMIT OF A FUNCTION Sec 2.3: CALCULATING LIMITS USING THE LIMIT LAWS

4. - Sec 2.2: THE LIMIT OF A FUNCTION Sec 2.3: CALCULATING LIMITS USING THE LIMIT LAWS Can we use Direct Substitution Prop.??

5. Sec 2.2: THE LIMIT OF A FUNCTION Sec 2.3: CALCULATING LIMITS USING THE LIMIT LAWS

6. Sec 2.2: THE LIMIT OF A FUNCTION Sec 2.3: CALCULATING LIMITS USING THE LIMIT LAWS Can we use Direct Substitution Prop.??

7. Sec 2.2: THE LIMIT OF A FUNCTION Sec 2.3: CALCULATING LIMITS USING THE LIMIT LAWS Can we use Direct Substitution Prop.??