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Question Number 35848 by rahul 19 last updated on 24/May/18

Find no. of points of discontinuity  of :  f(x)= cos ∣x∣ + ∣cos x∣ + ∣cos x∣^(2/3)  + ∣cos x∣^(5/3)   in the interval [−2,3].

$${Find}\:{no}.\:{of}\:{points}\:{of}\:{discontinuity} \\ $$$${of}\:: \\ $$$${f}\left({x}\right)=\:\mathrm{cos}\:\mid{x}\mid\:+\:\mid\mathrm{cos}\:{x}\mid\:+\:\mid\mathrm{cos}\:{x}\mid^{\frac{\mathrm{2}}{\mathrm{3}}} \:+\:\mid\mathrm{cos}\:{x}\mid^{\frac{\mathrm{5}}{\mathrm{3}}} \\ $$$${in}\:{the}\:{interval}\:\left[−\mathrm{2},\mathrm{3}\right]. \\ $$

Commented by rahul 19 last updated on 25/May/18

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