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Which of the following statement is /are correct ?  (i) The number L is the limit of f(x) as  xrarra  if,  given any  in>0 ,  there exists a value of x for which  |f(x)-L|<in (ii) The number L is the limit of f(x) as  xrarra ,  if for every number , in>0   there exists a corresponding number   delta>0  such that for all x, if 0<|x - a|<  delta then  |f(x)-L|<in. (iii) The number L is the limit of f(x) as  xrarra ,  if f(x) gets closer to L as x approaches a. (iv) The number L is the limit of f(x) as  xrarra ,  if the values of f(x) can be made as close as we like to L by making x sufficiently close to a ( but not equal to a) . 

A. ii
B. iii
C. ii, iv
D. All are correct 
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সঠিক উত্তরঃ D. All are correct 
Explanation:

All correct