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Question #db808

1 Answer

Apr 6, 2017

#0#

Explanation:

(x^(-4/3))/sin(1/x) = #(x^(-1/3)*x^-1)/sin(1/x) =1/x^(1/3) (1/x)/sin(1/x)#

As #xrarroo#,

#1/x^(1/3) rarr 0# and

#1/x rarr 0# so #(1/x)/sin(1/x) = 1#

Therefore,

#lim_(xrarroo)x^(-4/3)/sin(1/x) =0#

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