calculus
posted by Ram
Evaluate h(x) for the following values of x?
Consider the following function.
h(x) = (tan(x)x)/x^3
(a) Evaluate h(x) for the following values of x. (Give your answer correct to six decimal places.)
x =
a) 1
b) 0.5
c) 0.1
d) 0.05
e) 0.01
f) 0.005
what is f(x)
(b) Guess the value of the limit of h(x) as x approaches 0. (If it does not exist, enter NONE.)

Mgraph
We want to "guess" that limh(x)=1/3 if x>0
h(1)=(tan(1)1)/1^3=0.557408
h(0.1)=0.334672
h(0.005)=(tan(0.005)0.005)/0.005^3=0.333342
Respond to this Question
Similar Questions

Math (Calculus 121)
Consider the following function. f(x) = 7x3 + x2  0.08x + 12 Find the two points on the graph at which the tangent line is horizontal. Give your values correct to 2 decimal places. ( , ) (point with smaller x value) ( , ) (point with … 
calculus
Consider the given function. f(x) = 3 sin(6x) text(, ) 0<=x<=(3pi)/2 (a) Find the Riemann sum with six terms, taking the sample points to be right endpoints. (Give your answer correct to six decimal places.) R6 = (b) Repeat part … 
calculus
Consider the given function. f(x) = 3 sin(6x) text(, ) 0<=x<=(3pi)/2 (a) Find the Riemann sum with six terms, taking the sample points to be right endpoints. (Give your answer correct to six decimal places.) R6 = (b) Repeat part … 
Calculus
Calculus Limit Problem: Evaluate the function at the given numbers (correct to six decimal places). Use the results to guess the value of the limit, or explain why it does not exist. f(x)=cosx1/sinx x=1, .5, .4, .3, .2, .1, .05, .01 … 
STATISTICS(NEED HELP PLEASE?)
Consider the following set of data. (25, 6), (25, 51), (62, 34), (84, 15), (112, 57), (122, 14) (a) Calculate the covariance of the set of data. (Give your answer correct to two decimal places.) 40.17 (b) Calculate the standard deviation … 
math
Consider the following set of data. (18, 12), (29, 48), (65, 29), (82, 24), (115, 56), (124, 13) (a) Calculate the covariance of the set of data. (Give your answer correct to two decimal places.) (b) Calculate the standard deviation … 
statistics
Consider the following set of data. (18, 12), (29, 48), (65, 29), (82, 24), (115, 56), (124, 13) (a) Calculate the covariance of the set of data. (Give your answer correct to two decimal places.) . (b) Calculate the standard deviation … 
math
Consider the following set of data. (18, 12), (29, 48), (65, 29), (82, 24), (115, 56), (124, 13) (a) Calculate the covariance of the set of data. (Give your answer correct to two decimal places.) Incorrect: Your answer is incorrect. … 
Calculus Help Please!!!
Consider the following. f(x) = 8x (square root of (x − x^2)) (a) Use a graph to find the absolute maximum and minimum values of the function to two decimal places. 
Calculus Help Please!!!
Consider the following. f(x) = 8x(square root of (x − x^2)) Use a graph to find the absolute maximum and minimum values of the function to two decimal places.