Find the value of k,for which f(x)={{xx−1 2x+11+kx− 1−kx , if, −1≤x<0if 0≤x<1is continuous at x=0

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Find the value of {k},for which {f{{({x})}}}={{{{{{{1}+{k}{x}}

Question

Find the value of $k,$ for which $f (x) = {{\frac{1 + k x - 1 - k x}{x \frac{2 x + 1}{x - 1}}, if, - 1 \leq x < 0 if 0 \leq x < 1$ is continuous at $x = 0$

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Samuel Discussed

Find the value of

k,

for which

f (x) = {{\frac{1 + k x - 1 - k x}{x \frac{2 x + 1}{x - 1}}, if, - 1 \leq x < 0 if 0 \leq x < 1

is continuous at

x = 0

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Question Text

Find the value of

k,

for which

f (x) = {{\frac{1 + k x - 1 - k x}{x \frac{2 x + 1}{x - 1}}, if, - 1 \leq x < 0 if 0 \leq x < 1

is continuous at

x = 0