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Chapter 14: Q. 6 (page 896)

True or False The tangent line to a function is the limiting position of a secant line.

Short Answer

Expert verified

The given statement is true.

Step by step solution

01

Step 1. Given Information

The tangent is a line that passes through the curve at one point and the secant is a line that passes through two points on the curve.

02

Step 2. Determining whether the given statement is true or false

The given statement "the tangent line to a function is the limiting position of a secant line" is true because the secant line passes through two points on the curve and when the two points are carried together, the secant line tends to a tangent line.

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