Use OP27 as an 'unit-gain buffer'
The waveform on the right is for when the feedback resistor is very low. Under these circumstances the output injects current thru the input protection diodes. 

This current transfers from inverting input to non-inverting input (via the protection diodes) and, if the applied voltage source (the actual input) on the non-inverting input is low-impedance, the output current limits.