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Last updated at March 12, 2021 by Teachoo
Transcript
Example 12 Discuss the continuity of the function defined by ๐(๐ฅ)={โ(& ๐ฅ+2, ๐๐ ๐ฅ<0@&โ๐ฅ+2, ๐๐ ๐ฅ>0)โค ๐(๐ฅ)={โ(& ๐ฅ+2, ๐๐ ๐ฅ<0@&โ๐ฅ+2, ๐๐ ๐ฅ>0)โค Here, function is not defined for x = 0 So, we do not check continuity there We check continuity for different values of x When x < 0 When x > 0 Case 1 : When x < 0 For x < 0, f(x) = x + 2 Since this a polynomial It is continuous โด f(x) is continuous for x < 0 Case 2 : When x > 0 For x > 0, f(x) = โx + 2 Since this a polynomial It is continuous โด f(x) is continuous for x > 0 Hence, ๐ is continuous for all Real points except 0. Thus, ๐ is continuous for ๐ โ๐โ{๐}
Checking continuity using LHL and RHL
Example 10
Example 13 Important
Ex 5.1, 10
Ex 5.1, 11
Ex 5.1 ,6
Ex 5.1, 13
Ex 5.1, 12 Important
Example 11 Important
Example 7
Ex 5.1, 3 (a)
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Ex 5.1, 15 Important
Ex 5.1 ,7 Important
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Ex 5.1, 24 Important
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Ex 5.1, 9 Important
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Ex 5.1, 28 Important
Ex 5.1, 17 Important
Ex 5.1, 18 Important
Ex 5.1, 26 Important
Ex 5.1, 30 Important
Example 15 Important
Checking continuity using LHL and RHL
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