Question: If f is a continuous, decreasing function on f1, `d and lim tl` f sxd 0, then y` 1 f sxd dx is convergent.

If f is a continuous, decreasing function on f1, `d and lim tl`

f sxd − 0, then y`

1 f sxd dx is convergent.

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

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