Evaluate the following limit using the graph of the function.

Question

lim x→∞ −ln(x)

Answer 1

the graph of f(x) = -ln(x)

shows f(x) approaching negative infinity as x approaches positive infinity

the larger x gets, the smaller y becomes but at a slower rate

there is no limit to how negative f(x) becomes, as x grows larger

it may not be obvious from looking at the graph though