Posted by **please help!** on Monday, June 18, 2012 at 12:01pm.

I have to evaluate the limit of these problems and I can't figure them out!

1.) Lim

x-> 1

x^2+x-2/x^2-x

2.) (please note that the -2 is not under the square root)

Lim

x->0

sqroot 4+h -2/ h

- math -
**MathMate**, Monday, June 18, 2012 at 1:58pm
Whenever transcribing fractions, do not forget to insert parentheses around numerator AND denominator. The posted expressions do not evaluate into what you wanted to do.

1.

Factor numerator and denominator.

Reduce expression by cancelling common factors.

Evaluate remaining expression.

(x²+x-2)/(x²-x)

=(x+2)(x-1)/(x(x-1))

=(x+2)/(x)

evaluate limit for x → 1.

2.

Multiply top and bottom by conjugate, cancel out common factor and evaluate limit.

(√(4+h)-2)/(h)

=(√(4+h)-2)(√(4+h)+2)/((h)(√(4+h)+2))

=(4+h-2²)/(h(√(4+h)+2))

=h/(h(√(4+h)+2))

=1/(√(4+h)+2)

evaluate expression as x→0

## Answer This Question

## Related Questions

- math - i need some serious help with limits in pre-calc. here are a few ...
- math - the limit of cuberoot((-3x^3+5x+2)/(x^2-1)) as x approaches 3 is the ...
- calculus - Find the limit. lim h → 0 square root (49 + h) − 7 / h ...
- calc - need to find: lim as x -> 0 of 4(e^2x - 1) / (e^x -1) Try splitting ...
- calculus - Find lim (with x under it) (x^2-1)/x or state that the limit does...
- Calculus - Find the limit. lim 5-x/(x^2-25) x-->5 Here is the work I have so ...
- math - Compute the following limit: sqrt x+4 -2/x lim x-->0 the x+4 is the ...
- Calculus Answer Confirming Not Sure Im Right Help? - Evaluate the lim a. lim x...
- Calculus - I have two similar problems that I need help completing. Please show ...
- Pre-Cal - Given that lim x-> f(x)=6 and that lim x-> g(x)= -4, evaluate ...

More Related Questions