Evaluate the following limits:

lim x- 0 (x-1)/ (3sin(x)- cos (x))

Question

Evaluate the following limits:

lim x-> 0 (x-1)/ (3sin(x)- cos (x))

anonymous · Answer

in this case you can just plug x=0 into the function

anonymous · Answer

the limit is -1/-1=1

anonymous · Answer

so you should always substitute to see if its indeterminate form first? ok...thanks so much lol

anonymous · Answer

if it's indeterminate we need to use some other tools to evaluate the limit.

anonymous · Answer

the reason we were able to plug in here is the function in the numerator and denominator are continuous, and we are not dividing by 0

anonymous · Answer

can you explain how you know its continuous by just looking at it or did you figure it out some other way

anonymous · Answer

can you explain how you know its continuous by just looking at it or did you figure it out some other way