Find the maximum value of ( delta>0 ) that satisfies the limit claim corresponding to ( M=400 ), that is, such that ( 0<|x-c|<delta ) would imply ( f(x)>400 ). Round down to two decimal places if necessary. [ lim _{x ightarrow 0} frac{3}{x^{2}}=infty ]
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This simplifies to finding \( \delta \) such that \( \frac{3}{x^{2}} > 400 \) whenever \( 0 < |x| < \delta \). Show more…
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