Multiple choice (Continuity and Differentiated

​http://alnasiry.net/forums/uploaded/...alam-me(2).gif

https://alnasiry.net/forums/uploaded/2_12mc0001.jpg

https://alnasiry.net/forums/uploaded/2_12mc0002.jpg

https://alnasiry.net/forums/uploaded/2_12mc0003.jpg

https://alnasiry.net/forums/uploaded...tinuatymc1.jpg

https://alnasiry.net/forums/uploaded...tinuatymc2.jpg

بما أن sin (1/x) محدودة في جوار x =o بحيث xلا تساوي 0 و x تسعى الى 0 عندما x تسعى الى 0 فان
limit x sin 1/x tends to 0 as x tends to 0
اذا حتى تكون الدالة متصلة عند 0 فان قيمتها يجب ان تكون 0
الجواب هوA

السلام عليكم
احسنت واجدت استاذنا صلاح احمد

https://alnasiry.net/forums/uploaded...uatymc2sol.jpg

https://alnasiry.net/forums/uploaded...tinuatymc3.jpg

https://alnasiry.net/forums/uploaded...2ba12d8e8.jpeg

https://alnasiry.net/forums/uploaded...598462200.jpeg

شكري وتقديري للاستاذ صلاح احمد فلقد كان الحل مفصلا
شكرا للست ذكريات على الحل البديع فلقد كان التبسيط اولا
الحل المطروح ثانيا التبسيط خلال الحل


https://alnasiry.net/forums/uploaded...c3solution.jpg

https://alnasiry.net/forums/uploaded/2_limitsmc4.jpg

https://alnasiry.net/forums/uploaded...598503549.jpeg

https://alnasiry.net/forums/uploaded/2_limitsmc5.jpg

https://alnasiry.net/forums/uploaded...168173268.jpeg

https://alnasiry.net/forums/uploaded/2_12mc4.jpg

https://alnasiry.net/forums/uploaded...8b39be095.jpeg

https://alnasiry.net/forums/uploaded/2_12mc05.jpg

خذ x>0 and x<1

then greatest integer of x is 0 and abs(x)=x

f(x)=(e^x-2.)/(0+x)

lim as x tends to 0 from right does not exist


so the answer is non of these

https://alnasiry.net/forums/uploaded/2_12mc06.jpg

https://alnasiry.net/forums/uploaded...15b0c696d.jpeg

https://alnasiry.net/forums/uploaded/2_12mc06.solve.jpg

https://alnasiry.net/forums/uploaded/2_12mc07.jpg

للتذكير رجاءً

https://alnasiry.net/forums/uploaded...2463af060.jpeg

https://alnasiry.net/forums/uploaded/2_12mc08.jpg

https://alnasiry.net/forums/uploaded...a54136977.jpeg

https://alnasiry.net/forums/uploaded/2_12mc09.jpg

https://alnasiry.net/forums/uploaded...9a4cb99f1.jpeg

https://alnasiry.net/forums/uploaded/2_12mc10.jpg

https://alnasiry.net/forums/uploaded...601403142.jpeg

https://alnasiry.net/forums/uploaded...c2a0e3ac5.jpeg

https://alnasiry.net/forums/uploaded/2_12mc10solve.jpg

https://alnasiry.net/forums/uploaded/2_12mc11.jpg

https://alnasiry.net/forums/uploaded...9d51cdb34.jpeg

https://alnasiry.net/forums/uploaded...81b63559d.jpeg

https://alnasiry.net/forums/uploaded/2_12mc12.jpg

هي دالة سقفية لذلك تكون الأجابة الصحيحة فرع c

https://alnasiry.net/forums/uploaded/2_12mc12.solve.jpg

https://alnasiry.net/forums/uploaded/2_12mc13.jpg

https://alnasiry.net/forums/uploaded...3b72f8579.jpeg

https://alnasiry.net/forums/uploaded/2_12mc14.jpg