InterviewSolution
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InterviewSolution
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Evaluate the following limits:\(\lim\limits_{y\longrightarrow-3}[\frac {y^5+243}{y^3+27}]\)lim[y5 + 243/ y3 + 27], (y ∈-3) |
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Answer» = \(\lim\limits_{y\longrightarrow-3} \frac {y^5+243}{y^3+27}\) = \(\lim\limits_{y\longrightarrow-3} \frac {\frac {y^5+243}{y+3}}{\frac {y^3+27}{y+3}}\) ....[∴y→-3, y\(\neq\)-3, ∴ y+3 \(\neq\)0] = \(\frac{\lim\limits_{y\longrightarrow-3}[\frac {y^5-(-3)^5}{y-(-3)}]}{\lim\limits_{y\longrightarrow-3}[\frac {y^3-(-3)^3}{y-(-3)}]}\) = \(\frac {5(-3)^4}{3(-3)^2}\) = \(\frac {5}{3}\times9\) = 15 |
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