Flashback 10-9-12 A cube with edges 1/2 inch long is shown below. What is the length, in inches, of a diagonal that runs from one corner of the cube to the opposite corner? A.  B.  C.  D.  E.

What should you do when it rains? Joke of the day    What should you do when it rains?

Coincide 

Limits Value of limit does not depend on actual value of the function or on whether the function is even defined at that point. See examples on top of p. 61

Properties of Limits Sum: limit of the sum of 2 functions is the sum of their limits Difference: limit of the difference of 2 functions is the difference of their limits Product: limit of the product of 2 functions is the product of their limits Constant multiple: limit of a constant times a function is the constant times the limit of the function. Quotient: limit of the quotient of 2 functions is the quotient of their limits provided the limit of the denominator is not zero. Power: limit of a rational power of a function is the power of the limit of the function provided the limit of the function is a real number.

Examples limx→c(x3 + 4x2 – 3) limx→c X4 + x2 – 1 X2 + 5 (Ex. 5 and 6)

Finding limits by substitution If the function is a polynomial, then the limit at a point is the value of the function at that point. i.e. lim x3 + 2x2-5x +3 = x→2 Works for functions with expressions in denominator as long as denominator does not become zero at that value (ex. 7-11)

Assignment P. 66 Exercises 1-11

Exit Slip What do you know about limits?