79942 The set of points of discontinuity of the function
\(f(x)=\lim _{n \rightarrow \infty} \frac{(2 \sin x)^{2 n}}{3^{n}-(2 \cos x)^{2 n}}\) is given by

79943 If \(f(x)=(1+x)^{2 / x}\) for \(x \neq 0\) and \(f(0)=e^{2}\) is

79944 If \(f(x)=\left\{\begin{array}{cc}(1+|\sin x|)^{a /|\sin x|} ,-\frac{\pi}{6}\lt x\lt 0 \\ b , x=0 \\ e^{\tan 2 x \tan 3 x} , 0\lt x\lt -\frac{\pi}{6}\end{array}\right.\),then the value of \(a\) and \(b\), if \(f\) is continuous at \(x=0\), are respectively.

79945 If \(f(x)=\left\{\begin{array}{ll}m x+1, x \leq \frac{\pi}{2} \\ \sin x+n, x>\frac{\pi}{2}\end{array}\right.\) is continuous at \(x=\frac{\pi}{2}\), then

79942 The set of points of discontinuity of the function
\(f(x)=\lim _{n \rightarrow \infty} \frac{(2 \sin x)^{2 n}}{3^{n}-(2 \cos x)^{2 n}}\) is given by

79943 If \(f(x)=(1+x)^{2 / x}\) for \(x \neq 0\) and \(f(0)=e^{2}\) is

79944 If \(f(x)=\left\{\begin{array}{cc}(1+|\sin x|)^{a /|\sin x|} ,-\frac{\pi}{6}\lt x\lt 0 \\ b , x=0 \\ e^{\tan 2 x \tan 3 x} , 0\lt x\lt -\frac{\pi}{6}\end{array}\right.\),then the value of \(a\) and \(b\), if \(f\) is continuous at \(x=0\), are respectively.

79945 If \(f(x)=\left\{\begin{array}{ll}m x+1, x \leq \frac{\pi}{2} \\ \sin x+n, x>\frac{\pi}{2}\end{array}\right.\) is continuous at \(x=\frac{\pi}{2}\), then

79942 The set of points of discontinuity of the function
\(f(x)=\lim _{n \rightarrow \infty} \frac{(2 \sin x)^{2 n}}{3^{n}-(2 \cos x)^{2 n}}\) is given by

79943 If \(f(x)=(1+x)^{2 / x}\) for \(x \neq 0\) and \(f(0)=e^{2}\) is

79944 If \(f(x)=\left\{\begin{array}{cc}(1+|\sin x|)^{a /|\sin x|} ,-\frac{\pi}{6}\lt x\lt 0 \\ b , x=0 \\ e^{\tan 2 x \tan 3 x} , 0\lt x\lt -\frac{\pi}{6}\end{array}\right.\),then the value of \(a\) and \(b\), if \(f\) is continuous at \(x=0\), are respectively.

79945 If \(f(x)=\left\{\begin{array}{ll}m x+1, x \leq \frac{\pi}{2} \\ \sin x+n, x>\frac{\pi}{2}\end{array}\right.\) is continuous at \(x=\frac{\pi}{2}\), then

79942 The set of points of discontinuity of the function
\(f(x)=\lim _{n \rightarrow \infty} \frac{(2 \sin x)^{2 n}}{3^{n}-(2 \cos x)^{2 n}}\) is given by

79943 If \(f(x)=(1+x)^{2 / x}\) for \(x \neq 0\) and \(f(0)=e^{2}\) is

79944 If \(f(x)=\left\{\begin{array}{cc}(1+|\sin x|)^{a /|\sin x|} ,-\frac{\pi}{6}\lt x\lt 0 \\ b , x=0 \\ e^{\tan 2 x \tan 3 x} , 0\lt x\lt -\frac{\pi}{6}\end{array}\right.\),then the value of \(a\) and \(b\), if \(f\) is continuous at \(x=0\), are respectively.

79945 If \(f(x)=\left\{\begin{array}{ll}m x+1, x \leq \frac{\pi}{2} \\ \sin x+n, x>\frac{\pi}{2}\end{array}\right.\) is continuous at \(x=\frac{\pi}{2}\), then