Question

What is the limit for
lim (t+∆t)²-8(t+∆t)+3-(t²-8t+3)/∆t
∆t→0

Answer 1

open brackets . solve ityou'll get terms in delta t . simply divide and put deta t =0 . ,. 2t-8

Answer 2

is delta arbitrary? It doesn't mean change?

Answer 3

no man .. that delta denotes a small value . i.e . if i write delta t . that means very small value. delta don't have any sense if written alone . don't consider it separate variable

Answer 4

delta t is one symbol. often people use h instead

Answer 5

ohh i see, that makes it a lot more clear. Thanks a lot guys