Q.11 - Calculus

Question

All basic transcendental functions are ? on their domains, which means in terms of limits that if $x=c$ is in the domain of a basic exponential, logarithmic, trigonometric, or inverse trigonometric function $f$ , then ?. 

Step-by-Step Solution

Answer

All basic transcendental functions are continuous on their domains, which means in terms of limits that if $x=c$ is in the domain of a basic exponential, logarithmic, trigonometric, or inverse trigonometric function $f$ , then $\underset{x\to c}{\lim }f\left(x\right)=f\left(c\right).$. 

Step 1. Given Information.

The given statement is,

All basic transcendental functions are ? on their domains, which means in terms of limits that if $x=c$ is in the domain of a basic exponential, logarithmic, trigonometric, or inverse trigonometric function $f$ , then ?.

Step 2. Fill the blanks.

All basic transcendental functions are continuous on their domains, which means in terms of limits that if $x=c$ is in the domain of a basic exponential, logarithmic, trigonometric, or inverse trigonometric function $f$, then $\underset{x\to c}{\lim }f\left(x\right)=f\left(c\right)$.