Ma 113 Functions And Inverse Functions, The Exponential Function And The Logarithm Worksheet Page 13
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418. Suppose that f (0) exists. Does the limit
f (h)
f ( h)
lim
h
0
exist? Can you express the limit in terms of f (0)?
9. Can you find a function f so that
f (h)
f ( h)
lim
h
0
exists, but f is not differentiable at 0?
10. Find A and B so that the limit
2
x
+ 2x
(Ax + B)
lim
2
(x
2)
1
is finite. Give the value of the limit.
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