Answer:
The given congruence is false.
Step-by-step explanation:
Given : Expression
To find : Determine whether the congruence is true or false ?
Solution :
The congruence is in the form
where, x is the dividend
y is divisor
r is the remainder
So, We find
We know, 10 is completely divide by 5 and we get quotient is 2 and remainder is 0.
As
Therefore, The given congruence is false.
The two limits when x tends to zero are:
Notice that we have a jump at x = 0.
Then we can take two limits, one going from the negative side (where we will go along the blue line)
And other from the positive side (where we go along the orange line).
We will get:
Notice that the two limits are different, that means that the function is not a continuous function.
If you want to learn more about limits:
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