Question

1) f(x)=1/x, x0=2 2) f(x)=x^2, x0=-1/2    

Answer 1

1)f(x0)=1/x0=1/2=0,5 2)f(x0)=x0²=(-1/2)²=(-0,5)²=0,25

Answer 2

1. To find the limit of f(x) as x approaches 2, we can substitute 2 for x in the expression f(x)=1/x and evaluate:

f(2) = 1/2

Therefore, the limit of f(x) as x approaches 2 is:

lim x→2 1/x = 1/2

2. To find the limit of f(x) as x approaches -1/2, we can substitute -1/2 for x in the expression f(x)=x^2 and evaluate:

f(-1/2) = (-1/2)^2 = 1/4

Therefore, the limit of f(x) as x approaches -1/2 is:

lim x→-1/2 x^2 = 1/4