Question
Download Solution PDFLet
If
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Step: 1
Check f(a) is defined. If it is not defined then no need to go further. The function is not continuous at a. If f(a) is defined then
Step: 2
Check Left-hand limit (LHL) and Right-hand limit (RHL)
If LHL = RHL then limit exist.
Calculation:
⇒
⇒
Also,
⇒
If
⇒ 2k2 - k - 1 = 0
⇒ 2k2 - 2k + k - 1 = 0
⇒ 2k(k - 1) +1(k - 1) = 0
⇒ (k - 1)(2k + 1) = 0
⇒ k = 1 & -1/2
∴ The value of k is 1.
Additional Information Compare f(a), LHL & RHL .
If
The function is continuous at f(a).
Last updated on May 30, 2025
->UPSC has released UPSC NDA 2 Notification on 28th May 2025 announcing the NDA 2 vacancies.
-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.
->The NDA exam date 2025 has been announced for cycle 2. The written examination will be held on 14th September 2025.
-> Earlier, the UPSC NDA 1 Exam Result has been released on the official website.
-> The selection process for the NDA exam includes a Written Exam and SSB Interview.
-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100.
-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential.