State whether the statement is always true, sometimes true, or never true: "Let C be the graph of a continuous function y = f(z) and let P be a point on C. The tangent line to y = f(T) at P is any limiting position of all secant lines PQ as Q → P. O Never True O Always True O Sometimes True

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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State whether the statement is always true, sometimes true, or never true:
"Let C be the graph of a continuous function y =
f(z) and let P be a point on C. The tangent line to
y = f(x) at P is any limiting position of all secant lines PQ as Q P.
O Never True
O Always True
O Sometimes True
Transcribed Image Text:State whether the statement is always true, sometimes true, or never true: "Let C be the graph of a continuous function y = f(z) and let P be a point on C. The tangent line to y = f(x) at P is any limiting position of all secant lines PQ as Q P. O Never True O Always True O Sometimes True
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