How do you find one sided limits without graph?

Answer 1
It is not very different from two-sided limits. When something is approaching #0#, then we need to pay special attention to which side it approaches #0# from. Let us look at the examples below.
#lim_{x to 2^-}{3-5x}/{x-2}={3-5(2^-)}/{(2^{-})-2}={-7}/0^{-}=+infty#
#lim_{x to 2^+}{3-5x}/{x-2}={3-5(2^+)}/{(2^+)-2}={-7}/0^{+}=-infty#
Sign up to view the whole answer

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

Sign up with email
Answer 2

To find one-sided limits without a graph, you can use algebraic techniques. First, determine the expression representing the function. Then, substitute the value towards which the limit is approaching into the expression. Simplify the expression as much as possible, and evaluate the result.

Sign up to view the whole answer

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

Sign up with email
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.

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.

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.

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.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
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