80115 If the function \(f(x)=\left\{\begin{array}{ll}1 , x \leq 2 \\ a x+b , 2\lt x\lt 4 \\ 7 , x \geq 4\end{array}\right.\) is continuous at \(x=2\) and 4 , then the values of a and \(b\) are

80116 If \(f(x)=\left\{\begin{array}{c}\frac{x^{2}+3 x-10}{x^{2}+2 x-15}, \text { when } x \neq-5 \\ a, \text { when } x=-5\end{array}\right.\) is continuous at \(x=-5\), then the value of ' \(a\) ' will be

80117 If a function \(f(x)\) is given by \(f(x)=\frac{x}{1+x}+\frac{x}{(x+1)(2 x+1)}+\frac{x}{(2 x+1)(3 x+1)}+\ldots \infty\),
then at \(x=0, f(x)\)

80118 The number of real roots of the equation \(\mathrm{e}^{\mathrm{x}-1}+\mathrm{x}-\mathbf{2}=\mathbf{0}\) is

80115 If the function \(f(x)=\left\{\begin{array}{ll}1 , x \leq 2 \\ a x+b , 2\lt x\lt 4 \\ 7 , x \geq 4\end{array}\right.\) is continuous at \(x=2\) and 4 , then the values of a and \(b\) are

80116 If \(f(x)=\left\{\begin{array}{c}\frac{x^{2}+3 x-10}{x^{2}+2 x-15}, \text { when } x \neq-5 \\ a, \text { when } x=-5\end{array}\right.\) is continuous at \(x=-5\), then the value of ' \(a\) ' will be

80117 If a function \(f(x)\) is given by \(f(x)=\frac{x}{1+x}+\frac{x}{(x+1)(2 x+1)}+\frac{x}{(2 x+1)(3 x+1)}+\ldots \infty\),
then at \(x=0, f(x)\)

80118 The number of real roots of the equation \(\mathrm{e}^{\mathrm{x}-1}+\mathrm{x}-\mathbf{2}=\mathbf{0}\) is

80115 If the function \(f(x)=\left\{\begin{array}{ll}1 , x \leq 2 \\ a x+b , 2\lt x\lt 4 \\ 7 , x \geq 4\end{array}\right.\) is continuous at \(x=2\) and 4 , then the values of a and \(b\) are

80116 If \(f(x)=\left\{\begin{array}{c}\frac{x^{2}+3 x-10}{x^{2}+2 x-15}, \text { when } x \neq-5 \\ a, \text { when } x=-5\end{array}\right.\) is continuous at \(x=-5\), then the value of ' \(a\) ' will be

80117 If a function \(f(x)\) is given by \(f(x)=\frac{x}{1+x}+\frac{x}{(x+1)(2 x+1)}+\frac{x}{(2 x+1)(3 x+1)}+\ldots \infty\),
then at \(x=0, f(x)\)

80118 The number of real roots of the equation \(\mathrm{e}^{\mathrm{x}-1}+\mathrm{x}-\mathbf{2}=\mathbf{0}\) is

80115 If the function \(f(x)=\left\{\begin{array}{ll}1 , x \leq 2 \\ a x+b , 2\lt x\lt 4 \\ 7 , x \geq 4\end{array}\right.\) is continuous at \(x=2\) and 4 , then the values of a and \(b\) are

80116 If \(f(x)=\left\{\begin{array}{c}\frac{x^{2}+3 x-10}{x^{2}+2 x-15}, \text { when } x \neq-5 \\ a, \text { when } x=-5\end{array}\right.\) is continuous at \(x=-5\), then the value of ' \(a\) ' will be

80117 If a function \(f(x)\) is given by \(f(x)=\frac{x}{1+x}+\frac{x}{(x+1)(2 x+1)}+\frac{x}{(2 x+1)(3 x+1)}+\ldots \infty\),
then at \(x=0, f(x)\)

80118 The number of real roots of the equation \(\mathrm{e}^{\mathrm{x}-1}+\mathrm{x}-\mathbf{2}=\mathbf{0}\) is