Prove that the least positive value of `x ,` satisfying `tanx=x+1,l i e sint h ein t e r v a l(pi/4,pi/2)dot`

Explanation

To prove that the least positive value of \( x \) satisfying the equation \( \tan x = x + 1 \) lies in the interval \( \left( \frac{\pi}{4}, \frac{\pi}{2} \right) \), we will follow these steps:

### Step 1: Define the Functions
We will define two functions:
- \( f(x) = \tan x \)
- \( g(x) = x + 1 \)

### Step 2: Analyze the Functions
...