Question

lim [e^(x+1)-x+2]/x
x->-infinity

Answer 1

I always struggle with these but I think its -1

e^(x + 1) ---> 0
21 can be neglected
so we are left with INF / - INF = -1

Answer 2

You're right the answer is -1 but INF/-INF is indetermination

Answer 3

I need a correct judgement

Answer 4

yes you are correct
I did these last year in my degree course and always struggled with them

Answer 5

would applying l'hopital s rule help here , - just a suggestion

Answer 6

l'hospital rule is not working

Answer 7

just split it up\[\lim_{x\to-\infty}{e^{x+1}\over x}-\frac{x+2}x\]

Answer 8

thanks

Answer 9

welcome :)

Answer 10

still puzzled...

Answer 11

first term goes to zero, second breaks up into -1-2/x