For what value of k is the function f(x)={kx∣x∣,x<0;3,x≥0 continuous at x = 0 ?

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For what value of {k} is the function {f{{({x})}}}={{k}{{|{x}|

Question

For what value of $k$ is the function $f (x) = {k \frac{∣ x ∣}{x}, x < 0; 3, x \geq 0$ continuous at x = 0 ?

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For what value of

k

is the function

f (x) = {k \frac{∣ x ∣}{x}, x < 0; 3, x \geq 0

continuous at x = 0 ?

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Question Text

For what value of

k

is the function

f (x) = {k \frac{∣ x ∣}{x}, x < 0; 3, x \geq 0

continuous at x = 0 ?