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Let f be a continuous function defined o...

Let `f` be a continuous function defined onto [0,1] with range [0,1]. Show that there is some `c` in [0,1] such that `f(c)=1-cdot`

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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
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  13. Discuss the continuity of f(x)=sgn(x^2-2x+3)

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  14. If f(x)=sgn(2sinx+a) is continuous for all x , then find the possible ...

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