If the product function h(x) = f(x)g(x) is continuous at x = 0, is it necessary that both the functions f(x) and g(x) are continuous at x = 0?

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Anish Singhal · Answer

Yes it is necessary that both f(x) and g(x) functions are continuous then only function h(x) will be continuous at that particular point. Please refer to the basics from ncert.

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If the product function h(x) = f(x)g(x) is continuous at x = 0, is it necessary that both the functions f(x) and g(x) are continuous at x = 0?

If the product function h(x) = f(x)g(x) is continuous at x = 0, is it necessary that both the functions f(x) and g(x) are continuous at x = 0?

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If the product function h(x) = f(x)g(x) is continuous at x = 0, is it necessary that both the functions f(x) and g(x) are continuous at x = 0?

If the product function h(x) = f(x)g(x) is continuous at x = 0, is it necessary that both the functions f(x) and g(x) are continuous at x = 0?

1 Answers

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