79582 If \(a=\lim _{n \rightarrow \infty} \frac{1+2+3+\ldots . .+n}{n^{2}}\) and
\(b=\lim _{n \rightarrow \infty} \frac{1^{2}+2^{2}+3^{2}+\ldots . .+n^{2}}{n^{3}}, \text { then }\)

79583 \(\lim _{t \rightarrow 0} \frac{\sin 2 t}{8 t^{2}+4 t}\) is equal to

79584 \(\lim _{x \rightarrow 0} \frac{x}{\sqrt{9-x}-3}\) is equal to

79585 Let \(f(x)=\left\{\begin{array}{l}3 x+2, \quad \text { if } x\lt -2 \\ x^{2}-3 x-1, \text { if } x \geq-2\end{array}\right.\). Then \(\lim _{x \rightarrow-2^{-}} f(x)\) and \(\lim _{x \rightarrow-2^{+}} f(x)\) are respectively

79582 If \(a=\lim _{n \rightarrow \infty} \frac{1+2+3+\ldots . .+n}{n^{2}}\) and
\(b=\lim _{n \rightarrow \infty} \frac{1^{2}+2^{2}+3^{2}+\ldots . .+n^{2}}{n^{3}}, \text { then }\)

79583 \(\lim _{t \rightarrow 0} \frac{\sin 2 t}{8 t^{2}+4 t}\) is equal to

79584 \(\lim _{x \rightarrow 0} \frac{x}{\sqrt{9-x}-3}\) is equal to

79585 Let \(f(x)=\left\{\begin{array}{l}3 x+2, \quad \text { if } x\lt -2 \\ x^{2}-3 x-1, \text { if } x \geq-2\end{array}\right.\). Then \(\lim _{x \rightarrow-2^{-}} f(x)\) and \(\lim _{x \rightarrow-2^{+}} f(x)\) are respectively

79582 If \(a=\lim _{n \rightarrow \infty} \frac{1+2+3+\ldots . .+n}{n^{2}}\) and
\(b=\lim _{n \rightarrow \infty} \frac{1^{2}+2^{2}+3^{2}+\ldots . .+n^{2}}{n^{3}}, \text { then }\)

79583 \(\lim _{t \rightarrow 0} \frac{\sin 2 t}{8 t^{2}+4 t}\) is equal to

79584 \(\lim _{x \rightarrow 0} \frac{x}{\sqrt{9-x}-3}\) is equal to

79585 Let \(f(x)=\left\{\begin{array}{l}3 x+2, \quad \text { if } x\lt -2 \\ x^{2}-3 x-1, \text { if } x \geq-2\end{array}\right.\). Then \(\lim _{x \rightarrow-2^{-}} f(x)\) and \(\lim _{x \rightarrow-2^{+}} f(x)\) are respectively

79582 If \(a=\lim _{n \rightarrow \infty} \frac{1+2+3+\ldots . .+n}{n^{2}}\) and
\(b=\lim _{n \rightarrow \infty} \frac{1^{2}+2^{2}+3^{2}+\ldots . .+n^{2}}{n^{3}}, \text { then }\)

79583 \(\lim _{t \rightarrow 0} \frac{\sin 2 t}{8 t^{2}+4 t}\) is equal to

79584 \(\lim _{x \rightarrow 0} \frac{x}{\sqrt{9-x}-3}\) is equal to

79585 Let \(f(x)=\left\{\begin{array}{l}3 x+2, \quad \text { if } x\lt -2 \\ x^{2}-3 x-1, \text { if } x \geq-2\end{array}\right.\). Then \(\lim _{x \rightarrow-2^{-}} f(x)\) and \(\lim _{x \rightarrow-2^{+}} f(x)\) are respectively