Problem :
Is
f (x) = x
^{3} + 2x + 1
continuous at
x = 2
?
f (x) = 13 and f (2) = 13 |
Problem :
Is
f (x) =
continuous at
x = 4
?
Problem : Is the following function continuous?
f (x) = |
f (x) | = x + 3 = 2 + 3 = 5 | ||
f (x) | = (x ^{4} -11) = 2^{4} - 11 = 5 |
Problem : Is the following function continuous?
f (x) = |
f (x) | = (x ^{3} -1) = 3^{3} - 1 = 26 | ||
lim _{x→3+ } f (x) | = (x ^{2} +14) = 3^{2} + 14 = 23 |
Problem : Is there a way to define f (c) for the following function so that f (x) is continuous at x = c ?
f (x) = at c = 4 |
f (x) | = | ||
= | |||
= (x + 4) | |||
= 8 |
Problem : Is there a way to define f (c) for the following function so that f (x) is continuous at x = c ?
f (x) = at x = 1 |
Problem :
How can we be sure that the function
f (x) = 3x
^{3} -2x
^{2} - 31
has a root on the interval
[0, 3]
?