Continuity Tester Tutorial

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

Find the value of a and b so that function f defined as: 𝐟(𝐱)={((𝐱−𝟐)/|𝐱−𝟐| +𝐚, 𝐢𝐟 𝐱=𝟐 𝐚+𝐛, 𝐢𝐟 𝐱=𝟐 (𝐱−𝟐)/|𝐱−𝟐| +𝒃, 𝐢𝐟 𝐱=𝟐) is a continuous function. CBSE Class 12 Maths PYQ 2026 | Continuity of Piecewise Function at x = 3 | Board Exam Question | Functions ...

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$Q) Simplify : tan^(−1) {√((1−cos𝑥)/(1+cos𝑥))}}#class12maths #shivangmathsacademy #cbsemaths$

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Q) Simplify : tan^(−1) {√((1−cos𝑥)/(1+cos𝑥))}}#class12maths #shivangmathsacademy

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

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

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How to Use a Continuity Tester

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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

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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

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Q) Simplify : .cos^(−1) ((sin𝑥+cos𝑥)/√2),𝜋/4=𝑥=5𝜋/4 #shivangmathsacademy #maths #cbsemaths

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

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

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Q) If 𝑓(𝑥)={(sin𝑥/𝑥+cos𝑥, 𝑥≠0 𝑘, 𝑥=0) is continuous at 𝑥=0, then the value of 𝑘 is :

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If a function defined by 𝑓(𝑥)={(𝑘𝑥+1, 𝑥≤𝜋 cos𝑥 ,𝑥=𝜋) is continuous at 𝑥=𝜋, then the val

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The simplest form of tan^(−1) [(√(1+x)−√(1−x))/(√(1+x)+√(1−x))] is (a π/4−x/ #cbsemaths #maths

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Q) If sin^(−1) 𝑥 + pie =3𝑦, thenCBSE Class 12 Maths PYQ 2026 | Continuity of Piecewise Function

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Q) Simplify: 𝐜𝐨𝐬^(−𝟏) 𝐱+𝐜𝐨𝐬^(−𝟏) [𝐱/𝟐+√(𝟑−𝟑𝐱^𝟐 )/𝟐]; 𝟏/𝟐≤𝐱≤𝟏 #cbsemaths #maths

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For what value of k, the function given below is continuous at x = 0? 𝐟(𝐱)={((√(𝟒+𝐱)−𝟐)/𝐱,

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