Solution Found!
Find the function The following limits represent the slope
Chapter 4, Problem 65AE(choose chapter or problem)
QUESTION:
The following limits represent the slope of a curve y = f(x) at the point (a, f(x)). Determine a function f and a number a; then, calculate the limit.
\(\lim _{x \rightarrow 2}\ \frac{\frac{1}{x+1}-\frac{1}{3}}{x-2}\)
Questions & Answers
QUESTION:
The following limits represent the slope of a curve y = f(x) at the point (a, f(x)). Determine a function f and a number a; then, calculate the limit.
\(\lim _{x \rightarrow 2}\ \frac{\frac{1}{x+1}-\frac{1}{3}}{x-2}\)
ANSWER:SOLUTION STEP 1 Given is the slope of the curve y=f(x) Thus it is the derivative of the function f(x). 1 1 ie,f(x) = lim x+13 x2 x2 Thus comparing with the definition of t