Table of values generator for evaluating limits

limittable.py

#This program will generate a table of values to help in identifying the left and right hand limits of a function at a value.
#The user can change the values of a (line 10) and the function (line 21) to investigate limits of different functions and different values.

#Entering functions must be done using correct Python syntax. For example, x-squared should be written as x**2.
#Trigonometric, exponential, and other specialized functions can be accessed by typing "math." and then the function.

import math


a = -2   #This is the value that x is approaching in the limit. CHANGE THIS LINE!



dx = 0.5 #This is the initial delta_x to use in approaching the a-value.
x = a - dx #Set the initial value of x to be dx away from a.


#_______________________________________
def f(x):
	
	f = (math.sin(x))/x	#This is f(x), the function that is being used for the limit. CHANGE THIS LINE! 
	
	return f



#________________________________________
for i in range(10):						#Print the function values approaching a from the left.
	x = a - dx
	print "x: %0.6f f(x): %f" % (x, f(x))
	dx = dx*0.5

x = a	
print "x: %0.6f  f(x):  " % (x)		#Print the value of a with no function value (in case it is undefined)


#________________________________________
for i in range(10):						#Print the function values moving to the right, away from a.
	x = a + dx
	print "x: %0.6f f(x): %f" % (x, f(x))
	dx = dx*2