حمّل تطبيق منهاجي الجديد

منهاجي صار أسرع من خلال التطبيق

  إجابات أتحقق من فهمي

إجابات أتحقق من فهمي

النهايات والاتصال

النهاية من جهتين

أتحقق من فهمي صفحة (30)

أجد قيمة كل نهاية ممّا يأتي (إن وجدت) بيانيّاً وعدديّاً:

(a) begin mathsize 20px style lim for x not stretchy rightwards arrow 1 of f left parenthesis x right parenthesis end style ، حيث: f(x) = x2

بيانياً (من الشكل أدناه):

begin mathsize 20px style lim for x not stretchy rightwards arrow 1 to the power of plus of left parenthesis x squared right parenthesis equals lim for x not stretchy rightwards arrow 1 to the power of minus of left parenthesis x squared right parenthesis equals 1 end style

إذن:

begin mathsize 20px style lim for x not stretchy rightwards arrow 1 of left parenthesis x squared right parenthesis equals 1 end style

عددياً (من الجدول أدناه):

begin mathsize 20px style lim for x not stretchy rightwards arrow 1 to the power of plus of left parenthesis x squared right parenthesis equals lim for x not stretchy rightwards arrow 1 to the power of minus of left parenthesis x squared right parenthesis equals 1 end style إذن: begin mathsize 20px style lim for x not stretchy rightwards arrow 1 of left parenthesis x squared right parenthesis equals 1 end style

(b) begin mathsize 20px style lim for x not stretchy rightwards arrow negative 3 of h left parenthesis x right parenthesis end style ، حيث: begin mathsize 20px style h left parenthesis x right parenthesis equals left curly bracket table attributes columnalign left right columnspacing 1em end attributes row cell x plus 2 comma end cell cell negative 5 less or equal than x less than negative 3 end cell row cell 1 comma end cell cell x greater than negative 3 end cell end table end style

بيانياً (من الشكل أدناه):

begin mathsize 20px style table attributes columnspacing 1em end attributes row cell lim for x not stretchy rightwards arrow negative 3 to the power of plus of h left parenthesis x right parenthesis equals 1 end cell row cell lim for x not stretchy rightwards arrow negative 3 to the power of minus of h left parenthesis x right parenthesis equals negative 1 end cell end table end style

أي أنّ:

begin mathsize 20px style lim for x not stretchy rightwards arrow negative 3 to the power of plus of h left parenthesis x right parenthesis not equal to lim for x not stretchy rightwards arrow negative 3 to the power of minus of h left parenthesis x right parenthesis end style

إذن: begin mathsize 20px style lim for x not stretchy rightwards arrow negative 3 of h left parenthesis x right parenthesis end style غير موجودة.

عددياً (من الجدول أدناه):

begin mathsize 20px style lim for x not stretchy rightwards arrow negative 3 to the power of plus of h left parenthesis x right parenthesis equals 1 end style

begin mathsize 20px style lim for x not stretchy rightwards arrow negative 3 to the power of minus of h left parenthesis x right parenthesis equals negative 1 end style أي أنّ: begin mathsize 20px style lim for x not stretchy rightwards arrow negative 3 to the power of plus of h left parenthesis x right parenthesis not equal to lim for x not stretchy rightwards arrow negative 3 to the power of minus of h left parenthesis x right parenthesis end style

إذن: begin mathsize 20px style lim for x not stretchy rightwards arrow negative 3 of h left parenthesis x right parenthesis end style غير موجودة.


 

إعداد : شبكة منهاجي التعليمية

25 / 03 / 2023

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