How do you find the limit of #x^2+3x# as #x->-3#?

Answer 1

Emily Ammerman

#lim_(x->-3) x^2+3x = 0#

#f(x) = x^2+3x# is a polynomial and as such is continuous on all of #RR#.

So: #lim_(x->-3) f(x) = f(-3) = 9 -9 = 0#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Charles Anctil

To find the limit of x^2 + 3x as x approaches -3, we can substitute -3 into the expression and evaluate it.

(-3)^2 + 3(-3) = 9 - 9 = 0

Therefore, the limit of x^2 + 3x as x approaches -3 is 0.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Trending questions

Not the question you need?

HIX Tutor

Solve ANY homework problem with a smart AI

98% accuracy study help
Covers math, physics, chemistry, biology, and more
Step-by-step, in-depth guides
Readily available 24/7

How do you find the limit of #x^2+3x# as #x-&gt;-3#?

How do you find the limit of #x^2+3x# as #x->-3#?