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Mathematics 10 Online
OpenStudy (anonymous):

plz can someone calculate 'n' in the following

OpenStudy (anonymous):

\[\lim_{a \rightarrow 0}b=\frac{ 1 }{ 2 }\]\[b=a ^{n}+\frac{ 1 }{ na ^{n-2} }\]

OpenStudy (anonymous):

i wud be highly oblidged by your kind help .............

OpenStudy (anonymous):

the answer is 2...........

OpenStudy (anonymous):

i guess 2 will work you want \[\lim_{a\to 0}a^n+\frac{1}{na^{n-2}}=\frac{1}{2}\] which means that \[\lim_{a\to 0}\frac{1}{na^{n-2}}=\frac{1}{2}\] since the limit of the sum is the sum of the limit, and the first part is 0

OpenStudy (anonymous):

this means \[\lim_{a\to 0}na^{n-2}=2\]

OpenStudy (anonymous):

now as \(a\to 0\) this limit will be 0 for sure, unless \(n=2\) in which case it is identically 2

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