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If f(x)={((sin([x]+x))/([x]+x),x!=0),(1,x=0):} when [.] denotes the greatest integer function, then: |
Answer» <html><body><p>`lim_(xto0)(f(x)=<a href="https://interviewquestions.tuteehub.com/tag/sin1-3032522" style="font-weight:bold;" target="_blank" title="Click to know more about SIN1">SIN1</a>`<br/>`lim_(xto0)f(x)=1`<br/>`lim_(xto0)f(x)` does not <a href="https://interviewquestions.tuteehub.com/tag/exist-979486" style="font-weight:bold;" target="_blank" title="Click to know more about EXIST">EXIST</a><br/>`lim_(xto0)f(x)` <a href="https://interviewquestions.tuteehub.com/tag/exists-979838" style="font-weight:bold;" target="_blank" title="Click to know more about EXISTS">EXISTS</a> but `f(x)` is not <a href="https://interviewquestions.tuteehub.com/tag/continuous-932035" style="font-weight:bold;" target="_blank" title="Click to know more about CONTINUOUS">CONTINUOUS</a> at x=0</p>Answer :C</body></html> | |