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Show that sec x is a continuous function. |
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Answer» -cosx is a continuous functionfor everyx∈R , so thatsecxas the quotient of twocontinuous functionsiscontinuousfor everyxexcept where the denominator is zero. -sec X=1/cos X -Sosecxin undefined wherecosx=0, and that happens at odd multiples ofπ/2,like,-π/2 to π/2 -sec x is undefined at -π/2 and π/2 It-iscontinuous on the open interval (-π/2,π/2) |
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