MAT1501 ASSIGNMENT 2 2025

MAT1501
ASSIGNMENT 2
2025

, SECTION A


QUESTION 1


1.1).
TRUE


1.2).
FALSE


CORRECT STATEMENT:



lim(f(x) − g(x)) = lim f(x) − lim g(x)
x→a x→a x→a




1.3).
FALSE


CORRECT STATEMENT:



f(x) lim f(x)
lim ( ) = x→a
x→a g(x) lim g(x)
x→a




1.4).
TRUE


1.5).
FALSE

, CORRECT STATEMENT:


n
lim f(x)n = (lim f(x))
x→a x→a




QUESTION 2


2.1).



lim(x 3 + 2)(x 2 − 5x) = (lim(x 3 + 2)) ∙ (lim(x 2 − 5x))
x→3 x→3 x→3

= (33 + 2) ∙ (32 − 5(2))

= (29) ∙ (−6)
= −174




2.2).


|x + 4|
lim − ( )
x→−4 x+4




For x < 4:


|x + 4| = −(x + 4)


|x + 4| −(x + 4)
lim − ( ) = lim − ( )
x→−4 x+4 x→−4 x+4

= lim − (−1)
x→−4

= −1