Lim h~0 [-3h] =?? what will be the greatest integer function of -3h where lim h tends to 0?

Question

Answer

0

Answer

Explanation:

To find the limit as h approaches 0 of the expression -3h, we can substitute h = 0 into the expression and evaluate it.

Substituting h = 0:
-3(0) = 0

Therefore, the value of -3h as h approaches 0 is 0.

Greatest Integer Function:
The greatest integer function, denoted as [x], returns the greatest integer less than or equal to x. This function essentially rounds down any decimal or fractional part of a number.

For the given expression -3h, where the limit of h approaches 0, the value of -3h is 0. Since 0 is an integer, the greatest integer function of 0 is also 0.

Conclusion:
The greatest integer function of -3h, where the limit of h tends to 0, is 0. This is because the value of -3h as h approaches 0 is 0, and since 0 is an integer, the greatest integer function of 0 is also 0.

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