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Cosider `f(x)=1-e^((1)/(x)-1)` Q. If S is the range of f(x), then S isA. `(-infty,infty)`B. `(-infty,1)`C. `(-infty,1)`D. `(-infty,1)-{(1-(1)/(e))}` |
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Answer» Correct Answer - B `e^((1)/(x)-1)=1-yge0` i.e., `(1)/(x)-1=l n(1-y)` i.e., `(1)/(x)=1+l n(1-y)=l n (1-y)` `becausex(1)/(l ne(1-y))` `because(e(1-y)ne1` i.e., `yne1-(1)/(e)` `becauseS=(-infty,1)-{1-(1)/(e)}` |
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