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9. Continuity
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Q25 of 155 Page 9

Find the value of k if f(x) is continuous at x = π/2, where

Given:


f(x) is continuous at x =


, since (c + h)>c











1



Also, given f() = 3


since f(x) is continuous at x =



i.e, = 3


k = 6


The value of k is 6 when f(x) is continuous at x =


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23

Find the values of a so that the function is continuous at x = 2.

24

Prove that the function remains discontinuous at x = 0, regardless of the choice of k.

26

Determine the values of a, b, c for which the function is continuous at x = 0.

27

If is continuous at x = 0, find k.

Questions · 155
9. Continuity
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