Remember the definition of limit: For all there exists such that whenever . Now work with arbitrary , ie. so for we have and so as required. And now you have your in terms of an arbitrary so you just have to plug in the values.
For the limit below, find values of δ that correspond to the ε values. (Round your answers to four decimal places.)
For my answers i tried plugging into calculator and idk why i got them wrong:
For ε = .5 i got .875
for ε = .1 i got .975
for ε =.05 i got .9875