Show that [x² +x + 1, x < 1 | 3x, is continuous at x = 1. Determine whether f is differen- tiable at x = 1. If so, find the value of the derivative there. f(x) = x > 1 Sketch the graph of f.
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
65. Answer
A function is said to be continuous at a point if its left hand and right hand limits exits and are equal to the functional value at that point. That is .
A function is said to be differentiable at a point if the limit exist. Also a limit exist only if its left hand and light hand limits exist and are equal.
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