Question

Find the value of k.​

Answer 1

Step-by-step explanation:

Since, f(x) is continuous at x = 1, so,

$\lim_{ x\rarr1^{ - } }f(x) = f(1)$

$\implies\lim_{ h\rarr0}f(1 - h) = f(1)$

$\implies\lim_{ h\rarr0}(1 - h - 1) = 1 - 2(k + 1) + 2$

$\implies0 = 1 - 2k - 2 + 2$

$\implies2k = 1$

$\implies \: k = \frac{1}{2}$