Continuity of Piecewise Functions — Determining Continuity

Find the value of k for which the function 𝐟(𝐱)={((𝟏−𝐜𝐨𝐬𝐱)/(𝟐𝐱^𝟐 ), 𝐢𝐟 𝐱≠𝟎 𝐤, 𝐢𝐟

Q) If 𝑓(𝑥)={(3𝑎𝑥−𝑏 ,𝑥=1 ,𝑥=1 −5𝑎𝑥−2𝑏 ,𝑥=1) is continuous at 𝑥=1, then the values of 𝑎

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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

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

Q) Differential of cos^(−1) (e^x ) with respect to x is #cbse2027 #cbse #cbsesyllabus #maths

Q) If e^(𝑥+y)=3𝑥, then dy/d𝑥 is #maths #differentiation #cbse2026 #cbse2027

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