Find the limit. Use l'Hopital's Rule if appropriate. If there is a more elementary method, consider using it.
limx→1 (1-x+lnx1+cos7πx )

Therefore

Step-by-step explanation:

L Hospital's Rule:

, when the value of  at a are such as or  

then we can write

 where f'(x) and g'(x) are first order derivative.

Given that,

Putting x=1 in we get

Therefore it satisfies the L Hospital's Rule. then differential denominator and numerator with respect to x

=

Again putting x= 1 in  it gives . Again differential denominator and numerator with respect to x.

Now putting x =1

Therefore

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb