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limit as x approaches 0 of (e x -1-x)/x 2 ? Do without L Hospital rule.

limit as x approaches 0 of
(ex-1-x)/x2 ? Do without L Hospital rule.

Grade:12th pass

2 Answers

ng29
1698 Points
6 years ago
in these type of questions u can proceed with series expansion formula
ex=1 + x + x2/fact2 --------  so on
so we get the limit ,  (x2/fact 2--------------)/x2
so answer is ½ as limit x tends to 0 all next terms will be zero
 
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grenade
2061 Points
6 years ago
take commons and use squaring and finally use the basic prpts of limits and u will get the ans 0.5

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