problems in limits

مهيب الأرنؤوطى · #1 03-02-2011, 08:13 AM

${\color{red} \underline{find\, \, the\, \, following\, \, limilts:}}$

$\left ( 1 \right )\, \lim_{x\to0}\frac{1-cos10x}{1-cos6x}$

$\left ( 2 \right )\, \lim_{x\to0}\frac{sin5x}{log_3{9^x}}$

$\left ( 3 \right )\, \lim_{x\to\frac{\pi }{2}}\frac{sin\left ( cosx \right )}{2x-\pi }$

$\left ( 4 \right )\, \, \lim_{4x\to\pi }\frac{2sinx-\sqrt{2}}{4x-\pi }$

$\left ( 5 \right )\, find\, \, \left ( c \right )and\, \left ( d \right )if:\, \lim_{x\to1}\frac{cx^9+dx^8-5}{x-1}=42$

$\left ( 6 \right )\, \lim_{x\to2}\left ( x^2-5x+6 \right )tan\frac{x}{4}$

$\left ( 7 \right )\, \lim_{x\to0}\frac{sinx-tanx}{x^3}$

$\left ( 8 \right )\, \lim_{x\to\frac{\pi }{2}}\frac{cosx}{cos3x}$

$\left ( 9 \right )\, \lim_{x\to1}\frac{xsin\frac{\pi }{x}}{x-1}$

$\left ( 10 \right )\, \lim_{x\to0}\frac{sin\left ( sinx\left ( sinx \right ) \right )}{x}$

مهيب الأرنؤوطى · #2 03-02-2011, 08:30 AM

$\left ( 11 \right )\, \lim_{x\to\infty }n\left \{ \left ( a+\frac{1}{n} \right )^4 \right-a^4 \}$

$\left ( 12 \right )\, \lim_{x\to\frac{\pi }{2}}\frac{2x-\pi }{cosx}$

$\left ( 13 \right )\, \lim_{x\to0}\frac{7x^2}{1-cosx}$

$\left ( 14 \right )\, find\, \, the\, \, value\, \, of\, \, \left ( D \right )such\, \, that:\, \lim_{x\to2}\frac{x^2+\left ( D-2 \right )x-2D}{x-2}=5$

$\left ( 15 \right )\, \lim_{x\to1}\frac{x^4^n-x^3^n+x^2^n-1}{x-1}=6$

مهيب الأرنؤوطى · #3 03-02-2011, 08:48 AM

$\left ( 16 \right )\, \lim_{x\to2}\frac{\sqrt[3]{x^3+19}-3}{x-2}$

$\left ( 17 \right )\, \lim_{x\to0}\frac{sin\left ( tan3x \right )}{4x}$

$\left ( 18 \right )\, \lim_{x\to0}\frac{\sqrt[4]{x^4+1}-\sqrt{x^2+1}}{x^2}$

$\left ( 19 \right )\, \lim_{x\to2}\frac{x^5\sqrt{x+2}-64}{x-2}$

$\left ( 20 \right )\, \lim_{x\to0}\frac{x^3-x^-^3}{\left ( x+x^-^1 \right )^3}$

مهيب الأرنؤوطى · #4 03-02-2011, 09:01 AM

$\left ( 21 \right )\, \lim_{x\to1}\frac{\sqrt[4]{x^4+15}-2}{x-1}$

$\left ( 22 \right )\, \lim_{x\to2}\frac{2\times 3^x-3^2^-^x-17}{3^x-3\sqrt{3^x}}$

$\left ( 23 \right )\, \lim_{x\to3}\frac{x^3\left ( x-2 \right )^5-27}{x-3}$

$\left ( 24 \right )\, \lim_{x\to-1}\frac{\sqrt[3]{x^2}-4\sqrt[3]{x}-5}{x+1}$

$\left ( 25 \right )\, \lim_{x\to0}\frac{\left ( 1+x \right )^5+\left ( x-1 \right )}{x\left ( x+1 \right )}$

مهيب الأرنؤوطى · #5 03-02-2011, 09:13 AM

$\left ( 26 \right )\, \lim_{x\to\frac{log3}{log2}}\frac{4^x-7\times 2^x+12}{4^x-9}$

$\left ( 27 \right )\, \lim_{x\to3}\frac{2x-\sqrt{x+1}-4}{\left ( x+1 \right )\left ( x-3 \right )}$

$\left ( 28 \right )\, \lim_{x\to2}\frac{2\left ( x-3 \right )^4+x^3-10}{x^2-3x+2}$

$\left ( 29 \right )\, \lim_{x\to1}\frac{\sqrt{x^2+x+2}-2}{x-1}$

$\left ( 30 \right )\, \lim_{x\to1}\frac{2x^-^2+3x^-^3-5}{x^-^1+x^-^2-2}$

مهيب الأرنؤوطى · #6 03-02-2011, 04:26 PM

$\left ( 31 \right )\, \lim_{x\to2}\frac{2^x+2^3^-^x-6}{1-2^2^-^x}$

$\left ( 32 \right )\, \lim_{x\to0}\frac{sinx}{x+6}$

$\left ( 33 \right )\, \lim_{h\to0}\frac{cosx-cos\left ( x+h \right )}{h}$

$\left ( 34 \right )\, \lim_{x\to\frac{\pi }{2}}\frac{1-sinx}{\left ( \frac{\pi }{2} \right-x )^2}$

$\left ( 35 \right )\, \lim_{x\to\infty }\frac{\left ( 5x^3+2 \right )^2-3x^6}{\left ( 2x^3-7 \right )^2+5x^6}$

مهيب الأرنؤوطى · #7 03-02-2011, 06:14 PM

$\left ( 36 \right )\, find\, \left ( A \right )\, and\, \left ( B \right )if\, \lim_{x\to1}\frac{Ax^2+Bx+5}{x-1}=3$

mr maths · #8 04-15-2011, 06:25 PM

thanksssssssssssssssssssssssssssssssssssssssssssss sssssssssssssssssssssssssssssssssssssssssss

رغوده الكتكوتة · #9 11-24-2012, 08:07 PM

ميرسى اوى

خالد عبده · #10 02-09-2013, 10:34 PM

please replace the name:math instead of mass

المواضيع المتشابهه
الموضوع	كاتب الموضوع	المنتدى	مشاركات	آخر مشاركة
problems in trigonometry	مهيب الأرنؤوطى	الصف الثانى ثانوى ( لغات )	21	05-15-2022 05:33 PM

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