Category: Limits

Question Number 110086 by john santu last updated on 27/Aug/20 $$\frac{\mathrm{♠}JS\mathrm{♠}}{★\mathrm{<img\; draggable="false"\; role="img"\; class="emoji"\; alt="◼"\; src="https://s.w.org/images/core/emoji/15.1.0/svg/25fc.svg">}.★}$$$$If\underset{x\to a}{\lim }\frac{x^2+2\mid ax\mid -3a^2}{\sqrt{x}-\sqrt{a}}=P,witha>0$$$$thenthevalueof\underset{x\to a}{\lim }\frac{2x^2-\mid ax\mid -a^2}{x-a}is$$$$\mathrm{\_}\mathrm{\_}\mathrm{\_}$$$$\:\left({a}\right)\:\frac{\mathrm{3}{P}}{\mathrm{4}\sqrt{{a}}}\:\:\:\:\:\:\left({b}\right)\:\frac{\mathrm{3}{P}}{\mathrm{8}\sqrt{{a}}}\:\:\:\:\:\left({c}\right)\:\frac{\mathrm{8}{P}}{\mathrm{3}\sqrt{{a}}}…

Question Number 110072 by bemath last updated on 27/Aug/20 $$△\frac{be}{math}▽$$$$\underset{x\to 0}{\lim }\frac{\sin 2x+\sin 6x+\sin 10x-\sin 18x}{3\sin x-\sin 3x}=?$$ Answered by john santu last updated on 27/Aug/20 Commented by…

Question Number 175579 by cortano1 last updated on 03/Sep/22 $$\underset{x\to \mathrm{\infty }}{\lim }\frac{{\mathrm{x}}^{1-\sin \left(\frac{1}{\mathrm{x}}\right)}.({\mathrm{x}}^{\sin \left(\frac{1}{\mathrm{x}}\right)}-1)}{\ln \mathrm{x}}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 109985 by 150505R last updated on 26/Aug/20 Commented by 150505R last updated on 26/Aug/20 $$pleasesolvethesequestions\dots$$ Commented by Dwaipayan Shikari last updated…

Question Number 109929 by bemath last updated on 26/Aug/20 $$△\frac{\mathrm{♭}e}{\mathcal{M}ath}▽$$$$\underset{x\to \mathrm{\infty }}{\lim }\sqrt{81x^2-10x+1}-4x+3-\sqrt{25x^2-10x+1}=?$$ Commented by bemath last updated on 26/Aug/20 Terms…