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CD4046B: Frequency Capture Range (2Fc) discrepancy in equation

Part Number: CD4046B

Hi Team,

My Customer wanted to know which equation for Frequency Capture Range (2Fc) is correct or why the datasheet vs application note equation is different? From the datasheet of CD4046B (page 3-125) equation for 2fc is having a multiplier of 1/pi, unfortuanately application note states that the equation is the same except that the multiplier is 1/(tau1) (on page 15). 

Datasheet (blue pen)

  

vs Application note (yellow).

Application Note: http://www.ti.com/lit/an/scha002a/scha002a.pdf

Datasheet: https://www.ti.com/lit/ds/symlink/cd4046b.pdf 

Looking forward to your reply.


Best regards,

Renan Adriano