The functional groups present in the product ‘X’ of the reaction given below are:
Two statements are given below:
I. Milk sugar is a disaccharide of \( \alpha \)-D-galactose and \( \beta \)-D-glucose.
II. Sucrose is a disaccharide of \( \alpha \)-D-glucose and \( \beta \)-D-fructose. The correct answer is:
When \( |x| < 2 \), the coefficient of \( x^2 \) in the power series expansion of
\[ \frac{x}{(x-2)(x-3)} \]
is:
If the function
\[ f(x) = \begin{cases} \frac{(e^x - 1) \sin kx}{4 \tan x}, & x \neq 0 \\ P, & x = 0 \end{cases} \]
is differentiable at \( x = 0 \), then: