Well, it looks like you need a little "graph-ical" assistance! Don't worry, I'm here to help.
Let's take a closer look at the graph of sin(5θ)/θ as θ approaches 0.
Imagine you have a clown juggling five balls. Each ball represents a multiple of θ. As θ gets closer to 0, the balls get smaller and the juggling performance gets more intense.
Now, as θ approaches 0, the balls become so tiny that they seem to disappear. But the show must go on! Our fearless clown keeps juggling air where the balls used to be.
In graph terms, sin(5θ)/θ behaves like a circus performer who juggles an increasingly massive amount of air. While it may seem bizarre, this circus act never ends!
Therefore, the limit of sin(5θ)/θ as θ approaches 0 is equal to... 🥁... 5!
Now, let the clown whoop with joy and continue juggling the air! 🤡🤹♀️