Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • need solution for RD Sharma maths class 12 chapter 8 Continuity exercise Fill in the blanks question 15

need solution for RD Sharma maths class 12 chapter 8 Continuity exercise Fill in the blanks question 15

Answers (1)

Answer: 2

Hint: f(x)  is continuous when LHL=RHL

Given: f(x)=\left\{\begin{aligned} a x+1, & \text { if } x \geq 1 \\ x+2, & \text { if } x<1 \end{aligned}\right.

Solution:

            f(x)=\left\{\begin{aligned} a x+1, & \text { if } x \geq 1 \\ x+2, & \text { if } x<1 \end{aligned}\right.

            f(x)  is continuous when LHL=RHL

            \lim _{x \rightarrow 1^{+}} a x+1=\lim _{x \rightarrow 1^{-}} x+2 \text { at } x=1

            \lim _{h \rightarrow 0} a(1+h)+1=\lim _{h \rightarrow 0}(1-h)+2

            \begin{aligned} &a+1=3 \\ &a=2 \end{aligned}

Posted by

infoexpert26

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

Board Exam Time Table 2025 Live: UP Board exams from February 24; CBSE, BSEB date sheet soon
anam-khan

CBSE Date Sheet 2025 Live: Class 10, 12 board exam dates soon; syllabus, sample papers
anam-khan

Extra time in CBSE exams for students with type 1 diabetes: Kerala SHRC seeks report on plea

Latest Question