मराठी

For \[f(x)=x^2\], what verifies continuity at \[x=0\]?

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प्रश्न

For \[f(x)=x^2\], what verifies continuity at \[x=0\]?

पर्याय

  • \[f(0)=1\] and \[\lim_{x\to0}x^2=0\].

  • \[f(0)=0\] and \[\lim_{x\to0}x^2=0\].

  • \[f(0)=0\] and \[\lim_{x\to0}x^2=1\].

  • \[f(0)\] is not defined.

MCQ
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उत्तर

Substitution gives \[f(0)=0^2=0\]. Also, \[\lim_{x\to0}x^2=0\], so the limit equals the function value.

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