Calculus Examples

Evaluate the Limit ( limit as h approaches 0 of f(x+h)-fx)/h
limh0f(x+h)-fxh
Step 1
Split the limit using the Sum of Limits Rule on the limit as h approaches 0.
limh0f(x+h)-limh0fxh
Step 2
Evaluate the limit of fx which is constant as h approaches 0.
limh0f(x+h)-fxh
Step 3
Evaluate the limits by plugging in 0 for all occurrences of h.
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Step 3.1
Evaluate the limit of f(x+h) by plugging in 0 for h.
f(x+0)-fxh
Step 3.2
Add x and 0.
f(x)-fxh
f(x)-fxh
limh0(f(x+h)-fx)h
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 [x2  12  π  xdx ]