Given the piecewise function defined below, answer the questions at the bottom of the page regarding the continuity and differentiability of f at x = 1.
for
f(3) =
6 ln(2 – x) – 4
- 3x²
3 < 1
3 > 1
for
lim f(x) =
lim f(s)
f(1)
2-1
21-
lim f'(x)
lim f'(x) =
2-1
2-1-
So the function f(x) is
at = 1.
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