Difference between limits and continuity

Asked by musanjali.amd | 3rd Sep, 2019, 11:57: PM

Expert Answer:

begin mathsize 16px style bold Limit bold space bold colon
The space limit space of space the space function space straight f left parenthesis straight x right parenthesis space at space straight x space equals space straight a space is space l italic space if comma
limit as straight x rightwards arrow straight a to the power of plus of space straight f left parenthesis straight x right parenthesis space equals space limit as straight x rightwards arrow straight a to the power of minus of space straight f left parenthesis straight x right parenthesis space equals l italic space
bold Continuity bold colon
The space function space straight f left parenthesis straight x right parenthesis space is space continuous space if comma
limit as straight x rightwards arrow straight a of space straight f left parenthesis straight x right parenthesis space equals straight f left parenthesis straight a right parenthesis
For space continuity space the space limit space should space exists space at space all space points
and space should space be space finite space and space the space functional space value space should space be space equal space to space limit. end style

Answered by Yasmeen Khan | 4th Sep, 2019, 10:58: AM