Thread: Finding δ from a limt

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

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.