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Category: Limits

bemath-lim-x-0-1-2sin-x-1-4sin-4x-4x-

Question Number 106633 by bemath last updated on 06/Aug/20 $$\:\:\:\:\:\:\:\overset{@\mathrm{bemath}@} {\:} \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{1}+\mathrm{2sin}\:\mathrm{x}}\:−\sqrt{\mathrm{1}−\mathrm{4sin}\:\mathrm{4x}}}{\mathrm{4x}} \\ $$ Answered by john santu last updated on 06/Aug/20 $$\:\:\:\:\:\:\underset{@\mathrm{JS}@}…

bemath-lim-x-0-1-3sin-x-1-3-1-sin-3x-1-3-2x-

Question Number 106614 by bemath last updated on 06/Aug/20 $$\:\:\:\:\:\underset{@\mathrm{bemath}@} {\:} \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\sqrt[{\mathrm{3}}]{\mathrm{1}+\mathrm{3sin}\:\mathrm{x}\:}\:−\sqrt[{\mathrm{3}}]{\mathrm{1}+\mathrm{sin}\:\mathrm{3x}}}{\mathrm{2x}}\:=?\: \\ $$ Answered by Dwaipayan Shikari last updated on 06/Aug/20 $$\underset{{x}\rightarrow\mathrm{0}}…

Question-41016

Question Number 41016 by Tawa1 last updated on 31/Jul/18 Commented by Tawa1 last updated on 31/Jul/18 $$\mathrm{For}\:\mathrm{what}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x}\:\mathrm{is}\:\mathrm{the}\:\mathrm{function}\:\mathrm{h}\left(\mathrm{x}\right)\:\mathrm{discontinuous}\:\mathrm{and}\:\mathrm{do}\:\mathrm{we} \\ $$$$\mathrm{call}\:\mathrm{functions}\:\mathrm{like}\:\mathrm{the}\:\mathrm{question}\:\mathrm{above}. \\ $$ Answered by tanmay.chaudhury50@gmail.com last…