Define the functions F(x) and G(x) by rx+4 F(x) = | t°dt, G(x) = |." t3 dt Determine whether each of the following improper integrals and limits is divergent or convergent. If it is convergent, evaluate it. If it diverges to infinity, state your answer as "INF" (without the quotation marks). If it diverges to negative infinity, state your answer as "MINE". If it diverges without being infinity or negative infinity, state your answer as "DIV". (a) 8. (b) lim F(x) (c) lim G(x)
Define the functions F(x) and G(x) by rx+4 F(x) = | t°dt, G(x) = |." t3 dt Determine whether each of the following improper integrals and limits is divergent or convergent. If it is convergent, evaluate it. If it diverges to infinity, state your answer as "INF" (without the quotation marks). If it diverges to negative infinity, state your answer as "MINE". If it diverges without being infinity or negative infinity, state your answer as "DIV". (a) 8. (b) lim F(x) (c) lim G(x)
Chapter3: Functions
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Transcribed Image Text:Define the functions F(x) and G(x) by
x+4
F(x) = | t°dt,
G(x) :
t3 dt
-x+4
Determine whether each of the following improper integrals and limits is divergent or convergent. If it is convergent, evaluate
it. If it diverges to infinity, state your answer as "INF" (without the quotation marks). If it diverges to negative infinity, state your
answer as "MINF". If it diverges without being infinity or negative infinity, state your answer as "DIV".
(a)
x°dx
(b)
lim F(x)
lim G(x)
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