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Question

Engineering Mathematics Question on Differential Equations

Consider the following function:
f(x)={k,if x=13x+12x+2x1,if x>13,x1f(x) = \begin{cases} k, & \text{if } x = 1 \\\\\frac{\sqrt{3x + 1} - \sqrt{2x + 2}}{x - 1}, & \text{if } x > -\frac{1}{3}, x \neq 1 \end{cases}
If f(x)f(x) is continuous at x=1x = 1, the value of kk (correct up to 2 decimal places) is

Answer

The correct Answe is: 0.25 or 0.25 Approx