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Calculus1 15 Online
OpenStudy (anonymous):

lim(t→0)⁡(3x+t) (x^(3 ) (x-t). need some help with this question please

OpenStudy (jdoe0001):

\(\bf lim_{t->0}⁡(3x+t) (x^(3 ) (x-t)\) ?

OpenStudy (jdoe0001):

$$\bf lim_{t\rightarrow0}⁡(3x+t) (x^3) (x-t)\\ lim_{t\rightarrow0}⁡(3x+t) \times lim_{t\rightarrow0}(x^3) \times lim_{t\rightarrow0}(x-t) $$

OpenStudy (jdoe0001):

so usually you'd just set the "t" variable to 0 and that'd be the limit

OpenStudy (fozia):

aply limit separate and put the valu of t as 0 so u will get 3x^5

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