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Is it possible to apply a signal with a low slew rate to a Schmitt-trigger input type?

Rise and fall times are not specified for the Schmitt-trigger input type.

Theoretically, the output eventually stabilizes even if the input changes slowly, as long as noise does not cause the input to fluctuate more widely than the Schmitt-trigger hysteresis (VH).
 

While input voltage is between VP and VN, DC current flowing between the power supply and ground will increase. We recommend that you do not use extremely slow input signals.

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