System & Device Check
About the Class
The presenter will teach Limits, their applications & methods of solving them in this session.
Many people often make a very critical mistake in math which is when solving something like y=(x²-4)/(x-2). We get the answer (x+2) and we say that f(2) is 4, which is not correct. When we solve such a fraction, we have an invisible condition saying that x?2. We can only say that y "approaches" 4 when x "approaches" 2.
Similarly, when we have y=tanx/sinx, people often infer that
y(0)=1/cos(0)=1 which is again incorrect. We have to consider that the original function is not defined at x=0 and hence, we need the limits to help us out in this case too.
We will learn the properties of limits & the methods of solving limits like the L Hôpital''s rule, the 1^(8) form, factorization & rationalization methods & just a brief introduction on the sandwich theorem as it is not in JEE''s syllabus.
Once we are clear with limits, continuity & differentiability will follow. They are a part of limits and will be discussed in the same session.
We will then discuss some previous years questions & expected in limits, continuity & differentiability.
Previous session in the series: Pre Calculus: The Most Beautiful Functions in Calculus
Language of instruction:
Keywords: pre calculus, limits, jee, continuity, differentiability