You multiply the numerator and denominator by the _________ in order to direct substitute.
The function f is continuous at a if the graph of f contains no holes or breaks at a.
the trigonometric function that is equal to the ratio of the side adjacent to an acute angle (in a right-angled triangle) to the hypotenuse.
The values of a new function where the slopes of the tangent lines change along a curve.
The function f is not continuous at a if the graph of f contains holes or breaks at a.
a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression.
A horizontal line on the graph that the line of a function approaches but never touches
longest side of a right triangle
Suppose f is continuous on the interval [a,b] and L is a number strictly between f(a) and f(b). Then there exists at least one number c in (a,b) satisfying f(c)=L.
The value that a function approaches.
a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.
A logarithm to the base e (2.71828…)
The values of cos(1/x) __________ between 1 and -1, over shorter and shorter intervals, as x approaches 0 from the right.
y-y1=m(x-x1)
symbol showing to take the root of a number or quantity.
A straight line that cuts through and touches a curved line at two points.
the trigonometric function that is equal to the ratio of the side opposite a given angle (in a right triangle) to the hypotenuse.
The functions f and h have the same limit L at a and assume the function g is trapped between f and h. This theorem suggests that g must also have the limit L at a.
A straight line that touches a curved line at exactly one point.
The speed of something in a given direction
a vertical line on the graph that the line of a function approaches but never touches.
Where is my puzzle?