Search for: limx→a xa−axxx−aa is equal tolimx→a xa−axxx−aa is equal toA1+logea1−logeaBloge(e/a)loge(ae)Clogc(a/e)loge(ae)Dnone of these Register to Get Free Mock Test and Study Material +91 Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:We have,limx→a xa−axxx−aa 00 form=limx→a axa−1−axlogaxx(1+logx)−0 [Using L' Hospital's Rule]=aa−aalogaaa(1+loga)=1−loga1+loga=loge(e/a)loge(ae)Post navigationPrevious: If f (x) is the integral function of the function 2sinx−sin2xx3,x≠0, then limx→0 f′(x) is equal to Next: limx→−1 π−cos−1xx+1 is given byRelated content JEE Main 2023 Question Papers with Solutions JEE Main 2024 Syllabus Best Books for JEE Main 2024 JEE Advanced 2024: Exam date, Syllabus, Eligibility Criteria JEE Main 2024: Exam dates, Syllabus, Eligibility Criteria JEE 2024: Exam Date, Syllabus, Eligibility Criteria NCERT Solutions For Class 6 Maths Data Handling Exercise 9.3 JEE Crash Course – JEE Crash Course 2023 NEET Crash Course – NEET Crash Course 2023 JEE Advanced Crash Course – JEE Advanced Crash Course 2023