Evaluate the following limits:\(\lim\limits_{x\longrightarrow2} [\frac

1.	Evaluate the following limits:\(\lim\limits_{x\longrightarrow2} [\frac {x^{-3}-2^{-3}}{x-2}]\)lim [x-3-2-3/ x-2] (x ∈2)
Answer» \(\lim\limits_{x\longrightarrow2} \frac {x^{-3}-2^{-3}}{x-2} \)= (-3). (2)^-4 ^...[∴\(\lim\limits_{x\longrightarrow\,a} \frac {x^{n}-2^{n}}{x-a} = n.a^{n-1}\) = \(-3 \times \frac {1}{2^4} = \frac {-3}{16}\)

Evaluate the following limits:\(\lim\limits_{x\longrightarrow2} [\frac {x^{-3}-2^{-3}}{x-2}]\)lim [x-3-2-3/ x-2] (x ∈2)

Answer»

\(\lim\limits_{x\longrightarrow2} \frac {x^{-3}-2^{-3}}{x-2} \)= (-3). (2)^-4

^...[∴\(\lim\limits_{x\longrightarrow\,a} \frac {x^{n}-2^{n}}{x-a} = n.a^{n-1}\)

= \(-3 \times \frac {1}{2^4} = \frac {-3}{16}\)

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