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Note that f is continuous on (−∞, 6) and (6, ∞). For the function to be continuous on (−∞, ∞), we need to ensure that as x approaches 6, the left and right limits match. First we find the left limit. lim x→6− f(x)

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Evaluate the lim a. lim x> 64 (cube root x4/x64) (∛x4)/(x64) > 0/0 so then let cube root x = u u4/u^364 u4/u^364 = u4/u4(u^2+4u+16) the u4 cancel each other out leaving lim x>64 = 1/u^2+4u+16 1/64^2+4(64)=16 oddly

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