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The value of `Lim_(xto0) ((e)/(4x)-(e)/(2x(e^(ex)+1)))` equalsA. `(e^(2))/(2)`B. `(e^(2))/(4)`C. `(e^(2))/(8)`D. `(e)/(2)` |
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Answer» Correct Answer - A `underset(xto0)Lim((e)/(4x)-(e)/(2x(e^(ex)+1)))=underset(xto0)Lim(e)/(4x)(1-(2)/(e^(ex)+1))=underset(xto0)Lim(e)/(4x)((e^(ex)+1-2)/((e^(ex)+1)))=(e^(2))/(8)underset(xto0)Lim((e^(ex)-1))/(ex)=(e^(2))/(8)`. |
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