books derivation and series
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# Mathematics of Sequences and Series
# Sequences - numerical series - and functions
# Sequences and series
# Chancery operations and time series
# List of Math Series
# Infinite series
# History of the theory of infinite series
# The evolution of infinite series
# Series in Banach Space
# using series
# Define the use of infinite series
# Algebra series
# Mathematical series in algebra
# About geometric series
# Geometric series and their final sum
# Algorithms and Series
# Introduction to Series
# series . series
# Derivation derivation
# The science of derivation from the science of derivation
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Source: wikipedia.org
الاشتقاق والمتسلسلات (Info)
الإشتقاق
يتم الحصول على مشتق اللوغاريتم الطبيعي كدالة ذات قيمة حقيقية على الأعداد الحقيقية الموجبة بواسطة:
إثبات
المتسلسلات
إذا كان و ، فإن:
هذه هي متسلسلة تايلور لـ ln x زائد 1. يؤدي تغيير المتغيرات إلى توليد متسلسلة ميركاتور:
صالحة من أجل |x| ≤ 1 و x ≠ −1.
