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lim n tends to infintiy ( {x} + {2x} + {3x}..... +{nx}/ n2(to the square) )where {X} denotes the fractional part of x?Ans) all no.s are positive or 0. so limit is either positive or 0.........(1)now {x}<=1;{2x}<=1;......{x}+{2x}+....{nx}<=nthat implies lim n tends to infinity{x}+{2x}+....{nx}/n^2 <= lmit n tends to infinity n/n^2;that means lim n tends to infinity{x}+{2x}+....{nx}/n^2 <= lmit n tends to infinity 1/n i.e. 0........(2)from (1) and (2);required limit=0;
Terminology of polynomial Next we need to get some terminology out of the way. Monomial polynomial A monomial is a polynomial which consists of exactly one term.
Q. Difference between Probability and statistics? Ans. Probability and statistics are used in many different aspects of life. What are they and why are they so popular?
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The owner of TMH Hospital wants to open a new facility in a certain area. He usually builds 25-, 50-, or 100-bed facilities, depending on whether anticipated demand is low, medium
what are the factors af 34?
Exercise 12c question number 24
Q. Find a common factor of the numerator and denominator? Ans. There's only one key step to simplifying (or reducing) fractions: find a common factor of the numerator and
What do we understand by "being able to count"? Think about the following situation before you answer. Example 1: Three year-old Mini could recite numbers from I to 20 in the co
INTRODUCTION : The other day I overheard 6-year-old Ahmed explaining to his older sister about why swallowing the seeds of an orange is harmful. He said, "The seed will become a p
Consider a student loan of $12,500 at a fixed APR of 12% for 25 years, 1. What is the monthly payment amount? 2. What is the total payment over the term of the loan? 3. OF
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