Posted by **Anonymous** on Saturday, September 14, 2013 at 7:27am.

evaluate lim x aproches -1

x^2+6x+5/x^2-3x-4

- calculus -
**Jai**, Saturday, September 14, 2013 at 7:57am
lim (x^2 + 6x + 5)/(x^2 - 3x - 4) as x-> -1

Not that we can factor both numerator & denominator,

lim (x+5)(x+1) / (x-4)(x+1)

We can thus cancel the x+1, leaving

lim (x + 5)/(x - 4) as x-> -1

Substituting x = -1,

= (-1 + 5) / (-1 - 4)

= 4 / -5

= -4/5

Hope this helps~ :3

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