elementary algebra notes


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Note:
We say that limit of f(x) exists at x = a, if l 1 and l 2 are both finite and equa..
Note:
Co-ordinates of the origin is (0, 0). Co-ordinates of any point on the x-axis is (x, 0). Co-ordinates of any point on the y-axis is (0, y..
Note:
(1) '+' & '.' are commutative and associative in the sets, N, I, Q, Q | , R and C. i.e, a + b = b + a and a.b = b.a a + (b + c) = (a + b) + c..
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Identity function is denoted by I A..
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(i) Inverse of a function f is uniq..
Note:
If A has m elements, B has n elements, then A x B has mn elements. (a,b) = (c,d) a = c and b = d (Equality of ordered pairs). 'a' is called the first entry or first component and 'b' is called the second entry or second componen..
Note 2:
If f and g are two continuous functions then f + g, f - g, fg are continuous function..
Note 4:
Every rational function is continuous at each point of its domai..
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