using central limit theorem





Limitations of the theorem
Since a velocity gradient exists across the tube, the mean velocity of the liquid is to be considered. The viscous drag which comes into play when the liquid is in motion, is not taken into account. In above conservation principle, part of K.E. is converted into heat..
Theorem
Using Binomial theorem, prove that: ..
Solving limits using factorization
While solving limits,there are certain cases where the value of the limits is not defined( means we get the solution of the limit as in 0/0, 1/0 etc form..
Limits (Contd....)
Limits of Trigonometric Functions and Sandwich Theorem: for all x in some open interval containing c and suppose Since f is sandwiched between two functions g and h, the above theorem is known as sandwich theorem..
Algebra of Limits
If f and g are two functions defined over same domain D, then we have certain set of identities which can be used for solving limits problems with variables like algebraic expression..
find the unknown side using pythagoras theorem
Tutor in this diagram we know only 2 sides Tutor first we have to find the unknown side using pythagoras theorem Student noo Tutor The area of the square built upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares ..
Central Dogma of Molecular Biology
The RNA intermediate uses this information to direct the synthesis of proteins during translation. This unidirectional flow of information was described by F. H. C. Crick in 1958 as the Central Dogma of Molecular Biolog..
Squeezing theorem.
Let {a n }, {b n } and {c n } be sequences such that a n b n c n for all n N. If {a n } and {c n } have a common limit L as n-> then {b n } also has the limit L as n ->. Find lim n--> {n!/n n } Let a n = n!/n n a n = (1.2.3----n)/(n.n.n----n) < 1/n So 0 < ..
Midpoint Theorem
Introduction - We can prove some more properties of triangles using the properties of parallelograms seen in the previous chapter. We find that the line segment joining the mid points of any two sides of the triangle is parallel to the third side and is equal to half of it. We prove this ..
Baye's Theorem
Baye's Theorem - In the previous section, we have learnt that i) If A and B are two mutually exclusive events, then ii) Before we state and prove Baye's Theorem, we use the above two rules to state the law of total probability. The law of total probability is usef..
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