Question

Find the value of k for which the function f(x) = {(sin x - cos x)/(4x - x), x ≠ pi/4 and x, x = pi/4} is continuous at x = x/4. ​​​​​​​

Answer 1

Step-by-step explanation:

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f(x) = { sinx - cosx}\4x-x

{x }

x not equal to π\4

x is equal to π\4

lim(f(x) = π\4

x-π\4

lim(√2sin(x-π\4)

(x-π\4)

k = √2/4

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Answer 2

Answer:

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