/sci/ - Science & Math

[Anonymous No.3776625]

/sci/ I need help, I'm talking a calculus quiz online for a college class and I can't remember how to find the limit of a piecewise defined functions.

For examples

f(x)= { x+7 for x <(or equal)7}
{7x-35 for x>7}

please help teach me how to do it

[Anonymous No.3776639]

x<7 so when x approaches 7 from the left it equals a number, x>7 so when x approaches from the right it equals a number, do the numbers match? thats the limit. they don't match? limit does not exist

[Anonymous No.3776839]

What's the limit? 7? Then it's 14. The top one is the only piece that can include seven, as the bottom one is a strict inequality.

[Anonymous No.3776890]

>>3776839
limit as x->7 from the left 7+7=14
limit as x->7 from the right 7(7)-35=14
a limit is what it approaches or is equal to such as the bottom of the piecewise approaches 6.999999... and so on the limit is 7 same with 7.000...00001 because both approach the same limit it exists because they do not conflict if the two limits were different they would conflict so no limit exists. so therefore the limit is 14