The given expression is: lim Δx→0 (5x + Δx - 5x)/Δx

Step 1: Simplify the expression inside the limit. The 5x terms cancel out, leaving us with:

lim Δx→0 Δx/Δx

Step 2: The Δx terms cancel out, leaving us with:

lim Δx→0 1

Step 3: The limit of a constant as Δx approaches any value is just the constant itself. So, the answer is:

1

Question

The given expression is: lim Δx→0 (5x + Δx - 5x)/Δx

Step 1: Simplify the expression inside the limit. The 5x terms cancel out, leaving us with:

lim Δx→0 Δx/Δx

Step 2: The Δx terms cancel out, leaving us with:

lim Δx→0 1

Step 3: The limit of a constant as Δx approaches any value is just the constant itself. So, the answer is:

1

Knowee AI · Accepted Answer

The given expression is: lim Δx→0 (5x + Δx - 5x)/Δx

Step 1: Simplify the expression inside the limit. The 5x terms cancel out, leaving us with:

lim Δx→0 Δx/Δx

Step 2: The Δx terms cancel out, leaving us with:

lim Δx→0 1

Step 3: The limit of a constant as Δx approaches any value is just the constant itself. So, the answer is:

1

lim Δx→0 5x + Δx − 5xΔx