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Horizontal asymptotes : Such as we can have vertical asymptotes defined in terms of limits we can also have horizontal asymptotes explained in terms of limits.
Definition
The function f(x) will have horizontal asymptote at the point y=L if either of the given are true.
Prove that one of every three consecutive integers is divisible by 3. Ans: n,n+1,n+2 be three consecutive positive integers We know that n is of the form 3q, 3q +1, 3q +
Solve -10 cos(3t )= 7 on [-2,5]. Solution Let's first get the inverse cosine portion of this problem taken care of. cos(3 t )= - 7/10 ⇒ 3t = cos -1 ( - 7
Example of Trig Substitutions Evaluate the subsequent integral. ∫ √((25x 2 - 4) / x) (dx) Solution In this type of case the substitution u = 25x 2 - 4 will not wo
AUXILIARY METHODS There are other reprographic methods which although commonly used earlier, are now mainly used for specific purposes. We think you should be aware of these me
Average Function Value The first application of integrals which we'll see is the average value of a function. The given fact tells us how to calculate this. Average Functi
assignment of mathematics in b.sc. 1sem
Three Dimensional geometry Intorduction In earlier classes we studied about the coordinates in two planes that is the XY plane. Here we are going to study in detail about th
what is mantisa
Q. How to calculate arithmetic average or mean? Ans. When people collect information, or data, they can easily be overwhelmed with information. Just imagine listing the b
Consider R be a relation from A to B, that is, take R A Χ B. Then Domain R = {a: a € A, (a, b) € R for any b € B} i.e. domain of R is the set of all the first components of
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