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HustlerQ
12.02.2020 •
Mathematics
Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form ModifyingBelow lim With h right arrow 0 StartFraction f (x plus h )minus f (x )Over h EndFraction occur frequently in calculus. Evaluate this limit for the given value of x and function f. f (x )equals StartRoot x EndRoot, xequals11
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Ответ:
Step-by-step explanation:
We use binomial expansion for![(x+h)^{\frac{1}{2}}](/tpl/images/0508/0939/54934.png)
This can be rewritten as
From the expansion
Setting
and
,
Multiplying by
,
The limit of this as
is
Ответ:
Lake Powell, formed by Glen Canyon Dam,is not a lake.It is a reservoir, with a constantly fluctuating water level--more like a bathtub that is never drained than a true lake.