Q) If 𝑓(𝑥)={((1−sin^3 𝑥)/(3cos^2 𝑥), for 𝑥≠𝜋/2 𝑘, for 𝑥=𝜋/2) is continuous at 𝑥=𝜋/2, t

Q) Find the value of a and b so that function f defined as:𝐟(𝐱)={((𝐱−𝟐)/|𝐱−𝟐| +𝐚, 𝐢𝐟 𝐱=𝟐

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Q) Check whether function f(x) defined as f(𝑥)={((|𝑥−3|)/(2(𝑥−3)), 𝑥=3 (𝑥−6)/6,𝑥≥3) Is

Q) The value of 𝑘 for which the function 𝑓(𝑥)={(𝑥^2 sin 1/𝑥, 𝑥≠0 𝑘(𝑥+1), 𝑥=0) is a continuo

Find the values of 𝛌 if the function 𝐟(𝐱)={((〖𝐬𝐢𝐧^𝟐 𝛌𝐱)/𝐱^𝟐 , 𝐢𝐟 𝐱≠𝟎 𝟏, 𝐢𝐟 𝐱=𝟎)