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Category: College Mathematics

Week -5 | Sequences & Series – 3

Posted on December 7, 2018 by bubuenaa

1.1 Introduction to Convergence We have introduced the concept of infinite series’ in our previous modules. Today in this module, we shallt alk about convergence of an infinite series. Convergence, in elementary terms define the fact that the sum of an infinite series is bounded. This would mean . In other words let’s define .  If… Continue reading

Week -4 | System of Equations – 5

Posted on November 29, 2018 by bubuenaa

This is an optional module for the students preparing for engineering entrance examinations Q-1) Find the number of natural numbers which satisfy the following 2 conditions: a)  b)  divides  Solution: , this is divisible by  for any natural number 2. Note that for any number to be divisible by , it must be divisible by its… Continue reading

The Catenary Problem | Distance between 2 poles

Posted on November 17, 2018September 25, 2024 by bubuenaa

Let’s say we have a situation like this: We need to find the distance between the 2 poles. Ignore the heading of the image – ‘Amazon Interview Question’ since this image is taken from the internet.  We assume that the cable is of uniform density, and that the height of its hanging is the same… Continue reading

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