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

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