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LIMITS

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 The concept of limit of a function is a fundamental concept in calculus .  Lmit of a Function :          Suppose x is a variable and 'a' is a constant . If x takes value closer and closer to 'a' but not equal to 'a' , then we say that x tends to 'a' . Symbolically it is denoted by x⟶ a .                                we can observ that the value of x are very closed to a but not equal to a .When x > a and x takes values near a , foe example , x = a + 1/8 , x = a +1/4 ... etc, we say that x⟶a +   (x tends to a from larger value ). When x < a and x takes value near a , for example , x = a - 1/2 , a = a - 1/4 , x = a - 1/8 ..etc., then we sat that x⟶ a -  ( x tends to a from smaller value ). Definition of Limits :            Let f(x) is very near to l . This is expressed by |  f(x) - l | <  ε  for any ...