To determine

If provided statement is true or false.

Answer

Solution: False.

Explanation

Given: limx→πtanx1−cosx=limx→πsec2xsinx=∞.

Take left hand side =limx→πtanx1−cosx

=tanπ1−cosπ=01−(−1)=0

Left hand side =0

Take middle hand side

limx→πsec2xsinx=sec2xsinx

Middle hand side =∞

Here

Left hand side ≠ Middle hand side = Right hand side.

Conclusion: Since, Left hand side ≠ Middle hand side = Right hand side hence False.