To determine

To evaluate the limit  limx→∞ex−1tanx

Answer

  The value of the limit is limx→∞ex−1tanx=1

Explanation

Explanation: limx→∞ex−1tanx(00Form)

Applying ‘Hospitals’ Rule, we get

limx→∞ex−1tanx=limx→∞exsec2x

=limx→∞excos2x

=e0cos2(0)

=1.1=1

Conclusion: limx→∞ex−1tanx=1