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Q.

If f(x) is continuous function for all x∈R and range of f(x) is (2, 26) and g(x)=f(x)c is continuous ∀ x∈R , then the least positive integral value of c is (where [ ] is greatest integer function)

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a

2

b

3

c

5

d

6

answer is D.

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Detailed Solution

∴20 2c>f(x)c>26c if c<0 if 026g(x)=f(x)c=0 is continuous ∀x∈R when c>26if -26

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If f(x) is continuous function for all x∈R and range of f(x) is (2, 26) and g(x)=f(x)c is continuous ∀ x∈R , then the least positive integral value of c is (where [ ] is greatest integer function)