For the function g whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why. (a) lim t → 0 − g ( t ) (b) lim t → 0 + g ( t ) (c) lim t → 0 g ( t ) (d) lim t → 2 − g ( t ) (e) lim t → 2 + g ( t ) (f) lim t → 2 g ( t ) (g) g ( 2 ) (h) lim t → 4 g ( t )
For the function g whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why. (a) lim t → 0 − g ( t ) (b) lim t → 0 + g ( t ) (c) lim t → 0 g ( t ) (d) lim t → 2 − g ( t ) (e) lim t → 2 + g ( t ) (f) lim t → 2 g ( t ) (g) g ( 2 ) (h) lim t → 4 g ( t )
A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.
Explain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)
use Integration by Parts to derive 12.6.1
Chapter 2 Solutions
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