Estimate the limit.

picture below

Hence, the limit of the expression is:

-0.5 (i.e. option:d is correct)

Step-by-step explanation:

We have to evaluate the limit of the expression:

We know that the numerator and denominator both are equal to zero on putting x=0 hence we get a 0/0 form and hence we apply L'hospitals rule.

i.e. we differentiate the numerator and denominator term and then apply the limit.

We know that on differentiating the numerator we get:

and on differentiating the  denominator we get:

1

Hence, we need to find the limit of the expression:

Hence, the limit of the expression is:

-0.5

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation:

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation: