4 Convergence of sequences videos


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Now that we know what are sequences and what do we mean by the limit of any sequence we shall learn different ways to express the same. Hence in the first video we will learn about various definitions for convergence of a sequence and understand how they are equivalent.

In the second video we will use the epsilon definition in order to find the limit of some sequences and in the third video we will try to understand an m tail sequence out of any sequence and how if a sequence converges the limits should be the same for m-tail and original sequence.

In the last video of this post we shall understand the sandwich theorem for sequences just like we have learnt for limits of any function. Continue reading

3 Geometrical proofs of trigonometric identities


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Next 3 videos will give some insight about the geometry behind some trigonometric identities.

We will cover following issues in these videos-

  • Geometric proof of derivative of sinx
  • Geometric proof of lim x->0 sinx/x = 1
  • Geometric proof of lim x->0 1-cosx/x = 0

Continue reading

3 limits ,continuity & discontinuities concepts


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The following videos will discuss the concept of limit, continuity and discontinuities of function at a given point.

We will cover following issues in these videos-

  • Defining Limit of a Function
  • Defining Continuity
  • Discontinuities

Continue reading