79880 The value of \(\lim _{\theta \rightarrow 0} \frac{1-\cos 4 \theta}{1-\cos 6 \theta}\) is

79881 \(\lim _{x \rightarrow 0} \frac{x e^{x}-\sin x}{x}\) is equal to

79883 If \(f(x)=x\) for \(x \leq 0\)
\(=0\) for \(x>0\) then \(f(x)\) at \(x=0\) is

79884 If \(f(x)=\left(\frac{2^{x}-1}{1-3^{x}}\right)\), for \(x \neq 0\) is continuous at \(x=\) 0 , then \(\mathbf{f}(0)=\)

79885 If the function given by \(f(x)=\left(\frac{4 x+1}{1-4 x}\right)^{\frac{1}{x}}\) for \(x\) \(\neq 0\), is continuous at \(x=0\), then the value of \(\mathbf{f}(\mathbf{0})\) is

79880 The value of \(\lim _{\theta \rightarrow 0} \frac{1-\cos 4 \theta}{1-\cos 6 \theta}\) is

79881 \(\lim _{x \rightarrow 0} \frac{x e^{x}-\sin x}{x}\) is equal to

79883 If \(f(x)=x\) for \(x \leq 0\)
\(=0\) for \(x>0\) then \(f(x)\) at \(x=0\) is

79884 If \(f(x)=\left(\frac{2^{x}-1}{1-3^{x}}\right)\), for \(x \neq 0\) is continuous at \(x=\) 0 , then \(\mathbf{f}(0)=\)

79885 If the function given by \(f(x)=\left(\frac{4 x+1}{1-4 x}\right)^{\frac{1}{x}}\) for \(x\) \(\neq 0\), is continuous at \(x=0\), then the value of \(\mathbf{f}(\mathbf{0})\) is

79880 The value of \(\lim _{\theta \rightarrow 0} \frac{1-\cos 4 \theta}{1-\cos 6 \theta}\) is

79881 \(\lim _{x \rightarrow 0} \frac{x e^{x}-\sin x}{x}\) is equal to

79883 If \(f(x)=x\) for \(x \leq 0\)
\(=0\) for \(x>0\) then \(f(x)\) at \(x=0\) is

79884 If \(f(x)=\left(\frac{2^{x}-1}{1-3^{x}}\right)\), for \(x \neq 0\) is continuous at \(x=\) 0 , then \(\mathbf{f}(0)=\)

79885 If the function given by \(f(x)=\left(\frac{4 x+1}{1-4 x}\right)^{\frac{1}{x}}\) for \(x\) \(\neq 0\), is continuous at \(x=0\), then the value of \(\mathbf{f}(\mathbf{0})\) is

79880 The value of \(\lim _{\theta \rightarrow 0} \frac{1-\cos 4 \theta}{1-\cos 6 \theta}\) is

79881 \(\lim _{x \rightarrow 0} \frac{x e^{x}-\sin x}{x}\) is equal to

79883 If \(f(x)=x\) for \(x \leq 0\)
\(=0\) for \(x>0\) then \(f(x)\) at \(x=0\) is

79884 If \(f(x)=\left(\frac{2^{x}-1}{1-3^{x}}\right)\), for \(x \neq 0\) is continuous at \(x=\) 0 , then \(\mathbf{f}(0)=\)

79885 If the function given by \(f(x)=\left(\frac{4 x+1}{1-4 x}\right)^{\frac{1}{x}}\) for \(x\) \(\neq 0\), is continuous at \(x=0\), then the value of \(\mathbf{f}(\mathbf{0})\) is

79880 The value of \(\lim _{\theta \rightarrow 0} \frac{1-\cos 4 \theta}{1-\cos 6 \theta}\) is

79881 \(\lim _{x \rightarrow 0} \frac{x e^{x}-\sin x}{x}\) is equal to

79883 If \(f(x)=x\) for \(x \leq 0\)
\(=0\) for \(x>0\) then \(f(x)\) at \(x=0\) is

79884 If \(f(x)=\left(\frac{2^{x}-1}{1-3^{x}}\right)\), for \(x \neq 0\) is continuous at \(x=\) 0 , then \(\mathbf{f}(0)=\)

79885 If the function given by \(f(x)=\left(\frac{4 x+1}{1-4 x}\right)^{\frac{1}{x}}\) for \(x\) \(\neq 0\), is continuous at \(x=0\), then the value of \(\mathbf{f}(\mathbf{0})\) is