Question

Find the indicated limit, if it exists. limit of f of x as x approaches 0 where f of x equals 7 minus x squared when x is less than 0, 7 when x equals 0, and 10 x plus 7 when x is greater than 0

Answer 1

Answer:

answer is 7

Step-by-step explanation:

We are given a piecewise function which has a split at x=0

f(x) = $f(x) = 7-x^2, x0$

To find the limit, we have to find here left hand limit and right hand limit separately.

Here left hand limit for x tending to 0 is

limit of $7-x^2$ as x tends to 0

= 7-0 = 7

Right limit = limit of 10x+7 as x tends to 0

=10(0)+7 = 7

Since right hand limit = left hand limit we have

there exists a limit for x=0 and the limit is 7