# How do you find #lim (3x^2+4)/(x^2-10x+25)# as #x->5#?

See below.

....

We can then see that:

The problem becomes this:

Same conclusion :)

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

To find the limit of (3x^2+4)/(x^2-10x+25) as x approaches 5, we can substitute 5 into the expression and simplify. By substituting x=5, we get (3(5)^2+4)/(5^2-10(5)+25). Simplifying further, we have (75+4)/(25-50+25). Continuing to simplify, we get 79/0. Since the denominator is 0, the limit does not exist.

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

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.

- How do you determine the limit of #(3/x^3) ((x-2)/(x-1))# as x approaches 1-?
- What are the asymptotes of #f(x)=-x/((x^2-8)(5x+2)) #?
- How do you prove that the function #x*(x-2)/(x-2)# is not continuous at x=2?
- How do you find the limit of #(1+(7/x)+(3/x^2))^x# as x approaches infinity?
- Evaluate the limit # lim_(x rarr oo) (2x - sinx)/(3x+sinx)#?

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