The greatest interger function is continuous on R.
c)
The greatest integer function, denoted by $[x]$ or $\lfloor x \rfloor$, is defined as the largest integer less than or equal to $x$. For any real number $x$, $[x]$ gives an integer value such that $[x] \le x < [x]+1$. When analyzing continuity, a function $f(x)$ ________ ___ ________ ___ ______ ____ __________ ___ ___ ______ __________ _______.
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यदि y = em sin-1 x है, तो दर्शाइए कि है। इस प्रकार लाइब्नित्ज के सूत्र का प्रयोग करके
का मान निकालिए। न+ल
दो समुच्चयों S और T के लिए दर्शाइए किः
है। वेन आरेख में भी स्थिति दर्शाइए।
डॉ यदि एक आय फलन द्वारा दिया गया है, जहाँ x निवेश है, तो अधिकतम आय ज्ञात कीजिए। यदि प्रारम्भिक आय 0 है, तो आय फलन R भी ज्ञात कीजिए।
Find the largest subset of R on which the function f: R→R defined as:
is continuous.
The greatest interger function is continuous on R.
c)
Which of the following statements are true or false? Give reasons for your answer in the form of a short proof or a counter-example, whichever is appropriate.
a) The set {S∈ R: x²-3x+2=0} is an infinite set.
b) The greatest interger function is continuous on R.
c)
d) Every integrable function is monotonic.
e) defines a binary operation on Q, the set of rational numbers.
वक्र y2(x+1) = x2(3 - x) का आरेखण कीजिए और ऐसा करने के लिए प्रयोग किए गये गुणधर्म भी लिखिए।