- 2.T1: State the definitions of continuity at a point and on a closed inte...
- 2.T2: a. For function f in Figure 2-7h, find b. Is f continuous on the cl...
- 2.T3: State the property for the limit of a quotient. For the functions g...
- 2.T4: For the functions graphed in T4T7, state the following for x = c. a...
- 2.T5: For the functions graphed in T4T7, state the following for x = c. a...
- 2.T6: For the functions graphed in T4T7, state the following for x = c. a...
- 2.T7: For the functions graphed in T4T7, state the following for x = c. a...
- 2.T8: Sketch the graph of a function for which lim f(x) = 2.
- 2.T9: Sketch graphs that show you understand the difference in the behavi...
- 2.T10: Figure 2-7i shows the graph of function f in a neighborhood of x = ...
- 2.T11: Show that f is discontinuous at x = 2 if k = 1. Sketch the graph.
- 2.T12: Find the value of k that makes f continuous at x = 2
- 2.T13: On your grapher, plot the graph using the value of k from T11. Use ...
Solutions for Chapter 2: Properties of Limits
Full solutions for Calculus: Concepts and Applications | 2nd Edition
A polynomial with exactly two terms
A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined
Constant function (on an interval)
ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)
Convergence of a series
A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S
Facts collected for statistical purposes (singular form is datum)
Horizontal Line Test
A test for determining whether the inverse of a relation is a function.
The numbers . . ., -3, -2, -1, 0,1,2,...2
Linear combination of vectors u and v
An expression au + bv , where a and b are real numbers
An expression of the form logb x (see Logarithmic function)
Order of magnitude (of n)
An arrangement of elements of a set, in which order is important.
Plane in Cartesian space
The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.
Positive linear correlation
See Linear correlation.
Range of a function
The set of all output values corresponding to elements in the domain.
The function ƒ(x) = 1x
A procedure for fitting a curve y = a sin (bx + c) + d to a set of data
Sum of complex numbers
(a + bi) + (c + di) = (a + c) + (b + d)i
Symmetric difference quotient of ƒ at a
ƒ(x + h) - ƒ(x - h) 2h
Vertical line test
A test for determining whether a graph is a function.
Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.
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