Question

find the value of junction for while
, the
Foc ) = sinx-cosx÷4x-π,x is not equal to π÷4 k, x=π÷4 is continuous at x=4​

Answer 1

Answer:

Given that f(x)={(Sinx-cosx)/4x-x,x≠pi/4. X, x=pi/4} where x is continuous at pi/4

f(x) = { sinx – cosx}4x-x

{x }

x not equal to π4

x is equal to π4

lim(f(x)) = π4

Substituting π4 in the given polynomial equation

{(Sinπ4-cosπ4)/4(π4)-π4}

lim(√2sin(x-π4))

On applying the given limit x is continuous at pi/4 in the above equation we get,

k = √2/4

Step-by-step explanation:

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