Find the value of the limit $\lim _ { x \rightarrow 1 } \left( x ^ { 17 } - x + 3 \right)$
A)-4
B)3
C)-2
D)1
E)-8
F)2
G)0
H)-16

Question

Find the value of the limit $\lim _ { x \rightarrow 1 } \left( x ^ { 17 } - x + 3 \right)$ 
A)-4
B)3
C)-2
D)1
E)-8
F)2
G)0
H)-16

Quizplus · Accepted Answer

To find the limit as $x$ approaches 1 for the expression $x^{17} - x + 3$, we substitute $x = 1$ directly into the expression because it is a polynomial and polynomials are continuous everywhere. Substituting $x = 1$ gives $1^{17} - 1 + 3 = 1 - 1 + 3 = 3$.

Find the Value of the Limit lim⁡x→1(x17−x+3)\lim _ { x \rightarrow 1 } \left( x ^ { 17 } - x + 3 \right)limx→1​(x17−x+3)

Find the Value of the Limit $\lim _ { x \rightarrow 1 } \left( x ^ { 17 } - x + 3 \right)$