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प्रश्न
For \[f(x)=x^2\], what verifies continuity at \[x=0\]?
विकल्प
\[f(0)=1\] 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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