Your third friend just got her derivatives test back and can’t understand why that teacher of hers took off so many points for the following: lim h → 0 f ( x + h ) − f ( x ) h = lim h → 0 f ( x ) + h − f ( x ) h = lim h → 0 f ( x ) + h − f ( x ) h Now cancel the h = lim h → 0 f ( x ) − f ( x ) Canceled the f ( x ) = 0. X WRONG − 25 What was wrong with your answer? (There may be more than one error.)
Your third friend just got her derivatives test back and can’t understand why that teacher of hers took off so many points for the following: lim h → 0 f ( x + h ) − f ( x ) h = lim h → 0 f ( x ) + h − f ( x ) h = lim h → 0 f ( x ) + h − f ( x ) h Now cancel the h = lim h → 0 f ( x ) − f ( x ) Canceled the f ( x ) = 0. X WRONG − 25 What was wrong with your answer? (There may be more than one error.)
Solution Summary: The author explains the error in the expression cundersethto 0mathrmlim
Your third friend just got her derivatives test back and can’t understand why that teacher of hers took off so many points for the following:
lim
h
→
0
f
(
x
+
h
)
−
f
(
x
)
h
=
lim
h
→
0
f
(
x
)
+
h
−
f
(
x
)
h
=
lim
h
→
0
f
(
x
)
+
h
−
f
(
x
)
h
Now cancel the
h
=
lim
h
→
0
f
(
x
)
−
f
(
x
)
Canceled the
f
(
x
)
=
0.
X WRONG
−
25
What was wrong with your answer? (There may be more than one error.)
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Differential Equation | MIT 18.01SC Single Variable Calculus, Fall 2010; Author: MIT OpenCourseWare;https://www.youtube.com/watch?v=HaOHUfymsuk;License: Standard YouTube License, CC-BY