Search for: If function f (x) given by f(x)=(sinx)1/(π−2x),x≠π/2λ,x=π/2is continuous at x=π2, then, λ= If function f (x) given by f(x)=(sinx)1/(π−2x),x≠π/2λ,x=π/2is continuous at x=π2, then, λ= Fill Out the Form for Expert Academic Guidance!l Grade ---Class 1Class 2Class 3Class 4Class 5Class 6Class 7Class 8Class 9Class 10Class 11Class 12 Target Exam JEENEETCBSE +91 Preferred time slot for the call ---9 am10 am11 am12 pm1 pm2 pm3 pm4 pm5 pm6 pm7 pm8pm9 pm10pm Please indicate your interest Live ClassesBooksTest SeriesSelf Learning Language ---EnglishHindiMarathiTamilTeluguMalayalam Are you a Sri Chaitanya student? NoYes Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:For f (x) to be continuous at x=π2 we must have limx→π/2 f(x)=fπ2⇒limx→π/2 (sinx)1/(π−2x)=λ⇒limx→π/2 {1+(sinx−1)}1⋅(π−2x)=λ⇒limx→π/2 sinx−1π−2x=λ⇒e−12x→π/21−cos(π/2−x)(π/2−x)=λ⇒e0=λ⇒λ=1 Related content CBSE Class 7 Science Chapter 3 Heat MCQ Questions with Answers Nephron Diagram Class 10 CBSE Class 7 Science Chapter 2 Nutrition in Animals MCQ with Answers Rabindranath Tagore Jayanti 2024 Rahin Ke Dohe Class 9 Question Answers – MCQs Nucleus Diagram for Class 9 Neuron Diagram Class 9 Human Heart Diagram Class 10 CBSE Class 7 Science Chapter 1 Nutrition in Plants MCQ Questions with Answers CBSE Class 9 English Worksheet – The Road not Taken