Solution Found!
Answer: Find the function The following limits represent
Chapter 4, Problem 67AE(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.
\(\lim _{h \rightarrow 0}\ \frac{(2+h)^4-16}{h}\)
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.
\(\lim _{h \rightarrow 0}\ \frac{(2+h)^4-16}{h}\)
ANSWER:SOLUTION STEP 1 Given is the slope of the curve y=f(x) Thus it is the derivative of the function f(x). (2+h) 16 ie,f(a) = lim h h0 Thus comparing with the definition of the derivative f(a+h)f