The image contains several math problems. I will solve problem "ក" (first problem). It asks to calculate the limit of the function $2e^x - xe^x + 2e^x + 4$ as $x$ approaches 0. That is: $\lim_{x\to 0} (2e^x - xe^x + 2e^x + 4)$.

1. Problem Description

The image contains several math problems. I will solve problem "ក" (first problem). It asks to calculate the limit of the function $2e^x - xe^x + 2e^x + 4$ as $x$ approaches

0. That is: $\lim_{x\to 0} (2e^x - xe^x + 2e^x + 4)$.

2. Solution Steps

We need to evaluate the limit of the function as $x$ approaches

0. The function is $f(x) = 2e^x - xe^x + 2e^x + 4$.

We can simplify it as $f(x) = 4e^x - xe^x + 4$.

Since the exponential function is continuous, we can directly substitute $x = 0$ into the function to evaluate the limit.

$\lim_{x \to 0} (4e^x - xe^x + 4) = 4e^0 - 0 \cdot e^0 + 4$

We know that $e^0 = 1$.

So, the limit is $4(1) - 0(1) + 4 = 4 - 0 + 4 = 8$.

3. Final Answer

The limit of the function $2e^x - xe^x + 2e^x + 4$ as $x$ approaches 0 is

8.