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- Are the functions are same?
- usually know as //domain of the function//. When we are saying set of input values, it means every el... taken as input. <wrap em>So to define a function, we must first have set of input values.</wrap> Alternatively, we say a relation $f:A \to B$ is called function if ... athbb{N}$, $B=\mathbb{R}$ and $f(x)=x+1$. Clearly we see $1 \mapsto 2$, $\quad 2 \mapsto 3$, $\quad 3
- Its about square root
- uare root of 4 as $(-2)^2=4$. From above examples we see 2 and -2 are square root of 4 but it doesn't mean they must be equal. If we use the extended definition then it means we cannot consider to take square root on both side of equa... e of equation may have different answers. But if we consider the first definition then no doubt $\sqr
- Is it difficult to answer? 1−−−0.999…
- student unable to give the correct answer. Well, we cannot predict the exact reason but one simple re... o be a lack of logical reasoning. For example, if we wish to round off $0.999...$, then we arrived, it cannot be 0.9 or 0.99 or 0.999 or any other. Let we wish to rounding it off to three decimals. Then t
- What is the value of pi?
- ers cannot be written as the ratio of integers or we cannot write it in decimal representation. It is ... ho knows such type of representational of number? we can just imagine it to understand the concept of irrational number. So we use rational approximations of irrational number for real time calculations or we use some symbols or other notations to represent