SOLUTION: What is the value of the limiting problem lim (x+h)^3 – x^3/ h
h→0
Algebra.Com
Question 254557: What is the value of the limiting problem lim (x+h)^3 – x^3/ h
h→0
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
^3\ -\ x^3}{h})
Expand the binomial:
Collect terms:
Factor the numerator:
}{h})
Eliminate the common factor in the numerator and denominator:
Evaluate the limit:
In general:
^n\ -\ x^n}{h}\ =\ nx^{n-1})
John
RELATED QUESTIONS
Identify each expression that represents the slope of a tangent to the curve y=1/x+1 at... (answered by ikleyn)
Use the four-step process to find the slope of the tangent line to the graph of the given (answered by josgarithmetic)
I'M TRYING TO UNDERSTAND HOW THE DERIVATIVE OF X^1/4 WAS OBTAINED. USEING
THE FORMAT:... (answered by josgarithmetic)
If g(x)=x^2-2x+5, find and simplify g(x+h)-g(x)/h
g(x+h) = (x+h)^2 - 2(x+h) + 5 = x^2... (answered by tinbar)
Use the definition of the derivation to show that (d/dx)(cos x)= -sin x.
You can use the (answered by richard1234)
Given the function h described by h(x)=x+5 find each of the following
h(0)
h(-8)
h(-3)
(answered by Alan3354)
. given the function h described by h(x) = x + 13, find each of the following.
h(0) =... (answered by jim_thompson5910)
h(x)=7x^2-3 find the indicated function for h(0) h(-1) h(3) h(-3)... (answered by solver91311)
evaluate lim h tendin to 0 root of x+h - root x/ h , x is not equal to 0
sir / maam... (answered by solver91311)