# How do you evaluate the limit #lim(x^2+2x)/(x^2-3x-10)dx# as #x->4#?

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

To evaluate the limit lim(x^2+2x)/(x^2-3x-10) as x approaches 4, we can substitute the value of x into the expression and simplify. Plugging in x=4, we get (4^2+2(4))/(4^2-3(4)-10). Simplifying further, we have (16+8)/(16-12-10), which becomes 24/(-6). Finally, dividing 24 by -6 gives us the result of -4. Therefore, the limit of the given expression as x approaches 4 is -4.

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

- How do you evaluate the limit #sin(x^2)# as x approaches #oo#?
- How do you find #lim_(xtooo)log(4+5x) - log(x-1)#?
- How do you evaluate #lim_(x->3)(2x^2-5x-3)/(x-3)#?
- How do you find the limit of # (e^x-1)^(1/lnx)# as x approaches 0?
- How do you evaluate #(x^2-14x-32) / (xsqrt(x -64)# as x approaches 16?

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